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APlusTopper.com provides ICSE Class 10 Economic Applications Previous Year Board Question Papers Solved Pdf Free Download with Solutions, Answers and Marking Scheme. Here we have given ICSE Class 10 Economic Applications Solved Question Papers Last Ten Years. Students can view or download the ICSE Board 10th Economic Applications Previous Year Question Papers with Solutions for their upcoming examination.

These ICSE Class 10 Economic Applications Previous 10 Years Board Question Papers with Answers are useful to understand the pattern of questions asked in the board exam. Know about the important concepts to be prepared for ICSE Class 10 Board Exam and Score More marks.

Board – Indian Certificate of Secondary Education (ICSE), www.cisce.org
Class – Class 10
Subject – Economic Applications
Year of Examination – 2020, 2019, 2018, 2017.

ICSE Class 10 Economic Applications Solved Question Papers Last Ten Years

• ICSE Economic Applications Question Paper 2019 Solved
• ICSE Economic Applications Question Paper 2018 Solved
• ICSE Economic Applications Question Paper 2017 Solved
• ICSE Economic Applications Question Paper 2016 Solved
• ICSE Economic Applications Question Paper 2015 Solved
• ICSE Economic Applications Question Paper 2014 Solved
• ICSE Economic Applications Question Paper 2013 Solved
• ICSE Economic Applications Question Paper 2012 Solved
• ICSE Economic Applications Question Paper 2011 Solved
• ICSE Economic Applications Question Paper 2010 Solved
• ICSE Economic Applications Question Paper 2009 Solved

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ICSE Previous Year Question Papers Class 10

Get ICSE Solutions for Class 10 Mathematics Chapter 6 Quadratic Equation for ICSE Board Examinations on ICSESolutions.com. We provide step by step Solutions for ICSE Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download option.

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Quadratic Equation Class 10 Maths ICSE Solutions

Download Formulae Handbook For ICSE Class 9 and 10

Formulae

1. The standard form of a quadratic equation is ax² + bx + c = 0, where a, b and c are all real numbers and a ≠ 0.
   e.g., equation 4x² + 5x – 6 = 0 is a quadratic equation in standard form.
2. Every quadratic equation gives two values of the unknown variable and these values are called roots of the equation.
3. Zero Product Rule: Whenever the product of two expressions is zero; at least one of the expressions is zero.
   
4. Solving quadratic equations using the formula:
   The roots of the quadratic equation ax² + bx + c = 0; where a ≠ 0 can be obtained by using the formula:
   
5. To examine the nature of the roots:
   Examining the roots of a quadratic equation means to see the type of its roots i.e., whether they are real or imaginary, rational or irrational, equal or unequal.
   The nature of the roots of a quadratic equation depends entirely on the value of its discriminant b² – 4ac.
   Case I: If a, b and c are real numbers and a ≠ 0, then discriminant:
   (i) b² – 4ac = 0 ⇒ the roots are real and equal.
   (ii) b² – 4a c > 0 ⇒ the roots are real and unequal.
   (iii) b² – 4ac < 0 ⇒ the roots are imaginary (not real).
   Case II: If a, b and c are rational numbers and a ≠ 0, then discriminant.
   (i) b² – 4ac = 0 ⇒ the roots are rational and equal.
   (ii) b² – 4ac > 0 and b² – 4ac is a perfect square ⇒ the roots are rational and unequal.
   (iii) b² – 4ac > 0 and b² – 4ac is not a perfect square ⇒ the roots are irrational and unequal.
   (iv) b² – 4ac < 0 ⇒ the roots are imaginary.
6. Sum and product of the roots: If a and P are the roots of quadratic equation ax² + bx + c = 0 then
   
7. To form a quadratic equation with given roots: Let α, β be the roots of the required quadratic equation, then
   

Determine the Following

Question 1. Which of the following are quadratic equation:

Question 2. Determine, if 3 is a root of the given equation

Question 3. Examine whether the equation 5x² -6x + 7 = 2x² – 4x + 5 can be put in the form of a quadratic equation.

Question 4. Find if x = – 1 is a root of the equation 2x² – 3x + 1 = 0.

Question 6. 48x² – 13x -1 = 0

Question 12. Without solving the following quadratic equation, find the value of ‘p’ for which the given equation has real and equal roots: x² + (p – 3) x + p = 0

Question 13. Find the value of k for which the following equation has equal roots:

Question 14. If one root of the equation 2x² – px + 4 = 0 is 2, find the other root. Also find the value of p.

Question 16. The sum of two numbers is 15. If the sum of reciprocals is 3/10, find the numbers.

Question 17. Find two consecutive natural numbers whose squares have the sum 221.

Question 18. The sum of the squares of three consecutive natural numbers is 110. Determine the numbers.

Question 19. If an integer is added to its square the sum is 90. Find the integer with the help of a quadratic equation.

Question 20. Find two consecutive positive even integers whose squares have the sum 340.

Question 21. Divide 29 into two parts so that the sum of the square of the parts is 425.


Question 22. In a two digit number, the unit’s digit is twice the ten’s digit. If 27 is added to the number, the digit interchange their places. Find the number.

Question 23. A two digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number.

Question 24. Five years ago, a woman’s age was the square of her son’s age. Ten years later her age will be twice that of her son’s age. Find:
(i) The age of the son five years ago.
(ii) The present age of the woman.

Question 25. The length of verandah is 3m more than its breadth. The numerical value of its area is equal to the numerical value of its perimeter.
(i) Taking x, breadth of the verandah write an equation in ‘x’ that represents the above statement.
(ii) Solve the equation obtained in above and hence find the dimension of verandah.

Question 26. A two digit number is such that the product of its digit is 14. When 45 is added to the number, then the digit interchange their places. Find the number.

Question 27. In each of the following determine the; value of k for which the given value is a solution of the equation:

Question 28. If x = 2 and x = 3 are roots of the equation 3x² – 2kx + 2m = 0. Find the values of k and m.

Question 29. Solve the following equation and give your answer up to two decimal places:

Question 30. Determine whether the given values of x is the solution of the given quadratic equation below:

Question 32. Solve using the quadratic formula x² – 4x + 1 = 0

Question 33. Solve the quadratic equation:

Question 36. Form the quadratic equation whose roots are:

Question 37. Find the value of k for which the given equation has real roots:

Question 38. Without actually determining the roots comment upon the nature of the roots of each of the following equations:

Question 39. Solve the equation 3x² – x – 7 = 0 and give your answer correct to two decimal places.

Question 40. Solve for x using the quadratic formula. Write your answer correct to two significant figures (x -1)² – 3x + 4 = 0.

Question 41. Without solving the following quadratic equation, find the value of ‘m’ for which the given equation has real and equal roots.

Question 42. Solve the following by reducing them to quadratic equations:

Question 44. Solve for x:

Question 45. Solve the following equation by reducing it to quadratic equation:

Question 46. Solve:

Question 47. A two digit number is such that the product of the digits is 12. When 36 is added to this number the digits interchange their places. Determine the number.

Question 48. The side (in cm) of a triangle containing the right angle are 5x and 3x – 1. If the area of the triangle is 60 cm². Find the sides of the triangle.

Question 49. Rs. 480 is divided equally among ‘x’ children. If the number of children were 20 more then each would have got Rs.  12 less. Find ‘x’.


Question 50. By increasing the speed of a car by 10 km/hr, the time of journey for a distance of 72 km. is reduced by 36 minutes. Find the original speed of the car.

Question 51. A car covers a distance of 400 km at a certain speed. Had the speed been 12 km/hr more, the time taken for the journey would have been 1 hour 40 minutes less. Find the original speed of the car.

Question 52. The speed of an express train is x km/hr arid the speed of an ordinary train is 12 km/hr less than that of the express train. If the ordinary train takes one hour longer than the express train to cover a distance of 240 km, find the speed of the express train.

Question 53. Some students planned a picnic. The budget for the food was Rs. 480. As eight of them failed to join the party, the cost of the food for each member increased by Rs. 10. Find how many students went for the picnic.

Question 54. Two pipes flowing together can fill a cistern in 6 minutes. If one pipe takes 5 minutes more than the other to fill the cistern, find the time in which each pipe would fill the cistern.

Question 55. One fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels.

Question 56. An aeroplane travelled a distance of 400 km at an average speed of x km/hr. On the return journey the speed was increased by 40 km/hr. Write down the expression for the time taken for
(i) The outward journey (ii) the return Journey. If the return journey took 30 minutes less than the onward journey write down an equation in x and find its value.

Question 57. Car A travels x km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
(i) Write down the number of litres of petrol used by car A and car B in covering a distance of 400 km.
(ii) If car A use 4 litre of petrol more than car B in covering the 400 km, write down and equation in x and solve it to determine the number of litre of petrol used by car B for the journey.

Solution: Given Distance = 400 km

Question 58. A shopkeeper purchases a certain number of books for Rs. 960. If the cost per book was Rs. 8 less, the number of books that could be purchased for Rs. 960 would be 4 more. Write an equation, taking the original cost of each book to be Rs. x, and Solve it to find the original cost of the books.

Question 59. Two pipes running together can 1 fill a cistern in 11 1/9 minutes. If one pipe takes 5 minutes more than the other to fill the cistern find the time when each pipe would fill the cistern.

Question 60. In each of the following find the values of k of which the given value is a solution of the given equation:

Question 61. Solve the following quadratic equation by factorisation:

Question 62. Solve the following quadratic equation by factorisation method:

Question 63. Solve the following quadratic equation:

Question 64. Determine whether the given quadratic equations have equal roots and if so, find the roots:

Question 65. Find the value of k so that sum of the roots of the quadratic equation is equal to the product of the roots:

Question 66. Find the values of k so that the sum of tire roots of the quadratic equation is equal to the product of the roots in each of the following:

Question 67. Solve the following by reducing them to quadratic equations:





Question 69. Solve the following by reducing them to quadratic form:

Question 70. Solve: x(x + 1) (x + 3) (x + 4) = 180.

Question 71. Solve the equation:

Question 72. Solve for x:

Question 73. Solve the equation

Prove the Following 

Question 1. Given that one root of the quadratic equation ax² + bx + c = 0 is three times the other, show that 3b² – 16ac.

Question 2. If one root of the quadratic equation ax² + bx + c = 0 is double the other, prove that 2b² = 9 ac.

Question 3. If the ratio of the roots of the equation

Question 4. In each of the following determine whether the given values are solutions of the equation or not.

Question 5. In each of the following, determine whether the given values are solution of the given equation or not:

Question 7. Show, that a, b, c, d are in proportion if:

Concept Based Questions

Question 1. The hypotenuse of a right angled triangle is 3√5. If the smaller side is tripled and the larger side is doubled, the new hypotenuse will be 15 cm. Find the length of each side.

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Selina Concise Biology Class 10 ICSE Solutions Genetics- Some Basic Fundamentals

APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 10 Biology Chapter 3 Genetics Some Basic Fundamentals. You can download the Selina Concise Biology ICSE Solutions for Class 10 with Free PDF download option. Selina Publishers Concise Biology for Class 10 ICSE Solutions all questions are solved and explained by expert teachers as per ICSE board guidelines.

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ICSE SolutionsSelina ICSE Solutions

Selina ICSE Solutions for Class 10 Biology Chapter 3 Genetics – Some Basic Fundamentals

Exercise 1

Solution A.1.
d) Ascaris

Solution A.2.
a) 3 : 1

Solution B.1.
(a) – (iii) Study of laws of inheritance of characters
(b) – (v) Chromosomes other than the pair of sex chromosomes
(c) – (iv) A gene that can express when only in a similar pair
(d) – (ii) The alternative forms of a gene
(e) – (i) Chromosomes similar in size and shape

Solution B.2.
Lion, tiger, domestic cat (Any two)

Solution B.3.
Colour-blindness, Thalassaemia, Sickle cell anaemia and Haemophilia (Any two)

Solution B.4.
Homozygous dominant – RR
Homozygous recessive – rr

Solution C.1.

(a)

(b)

(c)

Solution C.2.
The characteristics of a species such as physical appearance, body functions and behavior are not only the outcome of chromosome number, but these depend on the genotype of every organism. That means the set of genes present in the organisms may very and therefore lion, tiger and domestic cat have the same number of 38 chromosomes, their characteristics (like different appearances) are the result of the genes located on the chromosomes.

Solution C.3.

(Any 3)

Solution C.4.

• Colour-blindness is caused due to recessive genes which occur on the X chromosome.
• Males have only one X chromosome. If there is recessive gene present on X chromosome, then the male will suffer from colour-blindness.
• Females have two X chromosomes. It is highly impossible that both the X chromosomes carry abnormal gene. Hence, if one gene is abnormal and since it is recessive, its expression will be masked by the normal gene present on the other X chromosome. Females are unlikely to suffer from colour-blindness.

Solution C.5.
Phenotypic Ratio – 3 (Black Fur) :1 (Brown Fur)
Genotypic Ratio – 1(Homozygous Black Fur):2 (Heterozygous Black Fur): 1 (Homozygous Brown Fur)

Solution D.1.

(a)  Heterozygous:  The condition in which a pair of homologous chromosomes carries dissimilar alleles for a particular character.

For example –

1. A daughter (XX^o) from a normal homozygous mother for colour vision (XX) and a colour blind father has one normal and one defective allele (X^oY).
2. Certain tongue rollers are heterozygous with Rr genotype.

(b)  Homozygous:  The condition in which a pair of homologous chromosomes carries similar alleles for a particular character.

For example –

1. A colorblind daughter (X^oX^o) will have both the X chromosomes with defective alleles.
2. A non-roller will have rr (homozygous) genotype.

(c)  Pedigree Chart:  A pedigree chart is a diagram that shows the occurrence and appearance or phenotypes of a particular gene or organism and its ancestors from one generation to the next. In the pedigree chart, males are shown by squares and females by circles.

Solution D.2.
Mendel’s laws of inheritance are:

1. Law of Dominance: Out of a pair of contrasting characters present together, only one is able to express itself while the other remains suppressed. The one that expresses is the dominant character and the one that is unexpressed is the recessive one.
2. Law of Segregation : The two members of a pair of factors separate during the formation of gametes. The gametes combine together by random fusion at the time of zygote formation. This law is also known as ‘law of purity of gametes’.
3. Law of Independent Assortment: When there are two pairs of contrasting characters, the distribution of the members of one pair into the gametes is independent of the distribution of the other pair.

Solution D.3.

• • The sex of the child depends on the father. The egg contains only one X chromosome, but half of the sperms contain X-chromosome whereas the other half contains Y-chromosome. It is simply a matter of chance as to which category of sperm fuses with the ovum and this determines whether the child will be male or female.
  • If the egg fuses with X-bearing sperm, the resulting combination is XX and the resulting child is female.
  • If the egg fuses with Y-bearing sperm, the resulting combination is XY and the resulting child is male.
    

Solution E.1.

Solution E.2.
(a) Black
(b) No

Solution E.3.

Solution E.4.
(a) Father
(b) Two sons and three daughters
(c) The child 1 (daughter) is colour blind
(d) X chromosome
(e) Haemophilia

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ICSE Commercial Applications Previous Year Question Paper 2013 Solved for Class 10

ICSE Paper 2013
COMMERCIAL APPLICATIONS

(Two Hours)
Answers to this Paper must be written on the paper provided separately.
You will not be allowed to write during the first 15 minutes.
This time is to be spent in reading the Question Paper.
The time given at the head of this Paper is the time allowed for writing the answers.
Section A is compulsory. Attempt any four questions from Section B.
The intended marks for questions or parts of questions are given in brackets [ ].

Section-A (40 Marks)
(Attempt all questions from this Section)

Question 1:
Give one difference between each of the following:
(a) Industrial goods and Consumer goods. [2]
(b) Fixed assets and Current assets. [2]
(c) Sales promotion and Publicity. [2]
(d) Fixed deposit and Recurring deposit. [2]
(e) Direct labour costs add Indirect labour costs. [2]

Answer:

(a)

(b)

(c)

(d)

(e)

Question 2:
(a) What is Food Adulteration? Give an example. [2]
(b) Mention the elements of Public Relations. [2]
(e) Why should an Income and Expenditure Account be prepared? [2]
(d) Give two basic differences between Informaive advertising and Persuasive advertising. [2]
(e) What are ‘contingent liabilities’? [2]

Answer:
(a) Food Adulteration: It means deliberate mixing of foreign particles of low quality which are undesirable in the food items, to increase the quantity.
e.g. —Mixing of stone pieces identical to Wheat, Rice and Pulses.
(b) Public Relation Elements: (1) Human Relations, (2) Empathy, (3) Persuasion, (4) Dialogue.
(c) Income and Expenditure account is prepared to know the surplus or deficit arising from the activities of a non-trading concern during a year.
(d)

(e) Contingent Liabilities: These are those liabilities which become payable on the’happening of an event.
e.g. — bills discounted but not matured, guarantee for a loan. These are also known as anticipated liabilities.

Question 3:
(a) On the basis of ownership, distinguish between a Product and a Service. [2]
(b) Explain in brief the term ‘Parity Princing’. [2]
(c) How does the Central Bank control credit through Statutory Liquidity Ratio. [2]
(d) Explain the terms Surplus and Deficit in an Income and Expenditure Account. [2]
(e) With reference to the Bhopal Gas Tragedy:
(i) Name the company responsible for the tragedy.
(ii) Identify the poisonous gas that caused this ghastly man made disaster. [2]

Answer:
(a)

(b) Parity Pricing: Parity Pricing concept that the selling price of a product or produce should.go up in the same account as the peices of the inputs used in product. It means adjustment of price according to the competitors. It is best suitable for a highly competitive market.
(c) Statutory Liquidity Ratio (SLR): Statutory liquidity ratio refer amount that the commercial banks require to maintain in the form of gold or government approved securities before providing credit to the customers. SLR is determined and maintained by the Reserve Bank of India in order to control the expansion of bank credit.
(d) Surplus: If the income of a non-trading concern exceeds over its expenditure, it is known as surplus.
Deficit: If the expenditure exceeds the income, it is known as deficit.
(e) (i) The company responsible for the Bhopal Gas Tragedy – Union Carbide India Limited.
(ii) Methyl Isocyanate (MIC).

Question 4:
Justify either for or against by giving two reasons for each of the following:
(a) Aggressive selling is the only way a company can survive in a highly competitive market. [2]
(b) Real costs must be recorded in the books of accounts. [2]
(c) Training reduces employee turnover. [2]
(d) Tea and coffee can be sold on sale-on approval or return basis. [2]
(e) Increased advertising in recent times has resulted in lower prices of newspapers. [2]

Answer:
(a) For: Yes, it is true because through agressive selling only you can get more customers to exchange their money for your products and services by proving yourself superior among the competitors. To achieve this, new marketing and selling techniques are used to explore the needs of customers, to get their maximum satisfaction.
(b) Against: Real cost cannot be recorded in the books of accounts because value of this cannot be measured in terms of money. It means sacrifice, discomfort and pain involved in doing the business.
(c) For: Yes, training reduces employee turnover as it increases the efficiency of worker which boosts the morale of the employees. This ensures employee loyalty, long term growth and a lifetime association with the organisation.
(d) Against: Tea and coffee cannot be sold or sale on approval or return basis because under this arrangement of sale an individual or a company interested in purchasing a specific item is allowed to use the item for a given length of time. At the end of that time if the individual is satisfied with the item they agree to purchase otherwise it has to be returned, but in the case of tea and coffee nothing could be returned, after the consumption (if not satisfied) and if, consumed partially it will be difficult to do the valuation of the consumed portion.
(e) For: Yes, increased advertising in recent times has resulted in lower prices of newspapers, as now a days advertising has become a great source of income for newspapers which has resulted in increase in its circulation.

Section – B (60 Marks)
(Attempt any four questions from this section)

Question 5:
(a) What are Overheads or Indirect expenses? Mention three types of Overheads with an example of each. [5]
(b) ‘Intense competition in the corporate world has led to the emergence of advertising as a vital tool for corporate survival’. Do you agree with this statement? Support your answer by citing reasons. [5]
(c) Explain the following:
(i) Principle of Prudence.
(ii) Money Measurement Concept. [5]

Answer:
(a) Overhead or indirect expenses are those expenses which cannot be charged to production directly or cannot be identified with a specific product or job. These are incurred in planning and controlling the business operations.
Three types of overhead expenses are:

1. Factory Overheads: Consumable stores like Lubricants, Grease etc. used for the smooth working of machines.
2. Office Overheads: These expenses are incurred in the process of managing business Activities e.g. office rent, salary of office manager etc.
3. Selling Overheads: These expenses are incurred in selling and distribution of goods and services, e.g. advertising expenses, sales commission etc.

(b) Intense competition in the corporate world has led to the emergence of advertising as a vital tool for corporate survival because these days, there are several producers producing similar products, therefore the primary objective of advertising is to provide relevant information to the consumers about products and services. It also provides link between producers and consumers. With the help of convincing advertisement, a business firm can create demand for its products which facilitates mass distribution of goods. By creating brand loyalty, advertising helps to maintain sales and market-share.
(c) (i) Principle of Prudence: According to this convention all anticipated losses should be recorded in the books of accounts, but all anticipated or unrealized gains should be ignored, e.g. – Joint Life Insurance Policy is shown only at surrender value as against the amount paid.
(ii) Refer Ans. 8. (a) (ii), 2016.

Question 6:
(a) What is the Penetrating Princing Policy? Discuss its pros and cons. [5]
(b) Elucidate the selection procedure for a vacancy in an organizaiton. [5]
(c) Briefly explain any five Consumer Rights. [5]

Answer:
(a) Penetrating Pricing Policy: According to this pricing policy, in the initial stage low prices are set-up to make the particular brand popular. This strategy is mostly used when there is strong potential competition in market and while launching fast moving consumer goods where demand is highly elastic and to restrict the entry of new competitors in the market. But at the same time the demand goes so high that it becomes difficult for the producer to meet it or the consumers think that the low price product are low in quality.

Pros:

1. Penetrating pricing yields high sales turn over and thereby offers the benefits of economies of scale.
2. A low initial price helps to restrict the entry of new competitors.
3. The product finds immediate acceptance in the market as common man can afford it.
4. Penetrating pricing can prolong the life of a product after the cream of the market has been skimmed.

Cons:

1. A low price may bring in so much demand which the producer may be unable to meet.
2. Consumers may interpret low price as a sign of poor quality.
3. It may be very difficult to increase the price when cost increases.
4. Low price may not yield adequate profit margin to the producer and the dealers.

(b) Selection Procedure:

1. Preliminary Interview: This is the first step in the process of selection which is conducted to know the minimum qualification, experience and age of the candidates.
2. Application Form: After qualifying Preliminary interview the candidates are asked to fill in the prescribed application form to get the written details of the candidates including his age, sex, address etc.
3. Employment Test: This is conducted to check the required skills in the candidates. These tests are based on the assumption that work behaviour of a person can be predicted by sampling it.
4. Selection Interview: It is a method of checking the information obtained through application and employment test, through face to face communication with the candidates. It also helps the candidate to acquire knowledge about the job details and the company.
5. Checking References: It is the process of verifying the names given by the candidate, of the people who knows about him, his previous job and his character.
6. Medical Determination and Final Approval: A medical test is conducted to ensure the physical fitness of the candidate which leads to the final approval. The finally approved candidate are issued appointment letters.
7. Final Approval: The candidates who are short listed after medical examination are finally approved by the head of the department in which they are to work. They are issued appointment letters and/or service agreement are made with them.

(c) Consumer Rights:

1. The Right to Safety: This right protects the consumers against the sale of goods which are hazardous to life and property.
   e.g. Electrical appliances, Gas cylinders etc. Consumers must have assurance regarding quality, reliability and safety of the products.
2. The Right to be informed: The consumer must have the right to be informed about the full details of the product regarding its quality, price etc. This protects the consumers from deceptive advertising, inflated price etc.
3. The Right to Choose: According to this right the consumer should be free to choose from alternative products, through free competition.
4. The Right to be heard: The consumer is free to register his complaint regarding the product at appropriate forums.
5. The Right to Consumer Education: According to this right, the consumer should be made aware of his rights and remedies available under the law.

Question 7:
(a) Describe the procedure adopted for opening a Saving Bank Account with a Commercial Bank. [5]
(b) Briefly explain any five factors responsible for the destruction of the eco system. [5]
(c) List the advantages and disadvantages of using radio services as a form of advertising media. [5]

Answer:
(a) Procedure for Opening a Saving Bank Account:

1. Application in the Prescribed Form: These forms are provided by banks for opening different types of accounts. In these the person willing to open an account should furnish full details about his name, occupation, permanent and official address, specimen signature etc.
2. Introduction of the Applicant: Introduction of the applicant by an existing account holder in the bank to ensure the identity of the applicant. Existing account holder needs sign the application form itself and to write his full name.
3. Specimen Signature: After filling the prescribed form issued by the bank and introduction given by a current account holder, the applicant is required to give his four signatures on a prescribed card. This enables to bank to verify the signature of the account holder with the signature on the cheque issued by him.
4. Photograph: In order to avoid various frauds due to fake identity the banks require photographs of the applicant to be affixed on signature card.
5. Initial Deposit: It is the minimum amount which the applicant must deposit, to activate his newly opened account. After opening an account, the bank provides the passbook, chequebook and pay-in-slips to account holder.

(b) Five Factors Responsible for the Destruction of the Eco System:

1. Population Growth: Population is growing rapidly but the land is static, which is a great threat to our eco system. Ibis is resulting in deforestation, destruction of natural resources, soil erosion, falling water table, pollution of water sources and atmosphere.
2. Transport: More and more road network is being expanded, which is resulting in deforestation, extinction of species, urbanisation etc.
3. Tourism: With the development of tourism, there is a quest to earn more and more revenue and foreign currency. The virgin areas which are rich in natural resources are exposed for the tourists. This is causing a loss of fresh water and habitats.
4. Agriculture: In order to cater the needs of over growing population, our farmers are using more and more chemical fertilizers and pesticides to increase their productivity. This is resulting into degradation of soil quality and natural food chain process.
5. Industrialisation: Increase in the number of industries is a great danger to our eco system. It is resulting into deforestation to get more and more land for industries, contamination of water by industrial wastes, air pollution and sound pollution.

(c) Advantages of Radio Services in the form of Advertising Media:

1. It is convenient for the masses due to its wide coverage.
2. It is good for rural areas as it can even cover illiterate people and lower income segment.
3. The frequency of repetition of advertisement is more.
4. People don’t have to sit and watch the advertisement, they can very easily hear them while working.
5. With the use of extra audio affects, in the form of music and interactive sessions through phone calls, makes the communication more effective.

Disadvantages:

1. There is a lack of selectivity due to availability of selective radio channels in our country.
2. It is costlier due to limited selectivity.
3. Industrialisation and other factors makes the sound signal weak which results in poor reception.
4. It has a short life span and back reference is not possible.
5. It takes visual impact.

Question 8:
(a) What is the professional and social significance of Human Resource Management? [5]
(b) Write short notes on:
(i) Importance of Packaging.
(ii) The Chernobyl disaster. [5]
(c) Last year, Sakona Co. Ltd. came up with a unique and revolutionary Home Theatre System with amazing new features, excellent sound quality and elegant design. It was priced very high, yet it was a great success. This year the company is facing stiff competition, but is determined to acquire a huge chunk of the market share.
(i) In what stage of PLC (Product Life Cycle) is the Home Theatre System presently?
(ii) Suggest strategies that Sakona Co. Ltd. should adopt to achieve its corporate goals. [5]

Answer:
(a) Professional and Social Importance of Human Resources Management:
Professional Significance: Human Resource Management helps in maximising the working potential of the employees by providing a healthy working environment and opportunities for growth. It enhances better understanding among the people working together which leads to effective team work. It boosts the confidence of the people by placing them at the right place at the right time according to their qualification and work experience. HRM also inculcates a feeling of belonging for the organisation.
Social Significance: Human Resource Management helps the society by utilising and channelising the manpower in the productive channels. It provides maximum opportunities to enhance the dignity of labour by placing the right person at the right job. HRM also raises the standard of living of the people by increasing the employment opportunities.

(b) (i) Packaging: It means placing products in suitable packages for safe and easy handling. It is not only a protective cover but it also acts as a silent salesman by providing various information about the product. Packaging also provides reuse, repack and resale value of the packaging material which adds utility to the product. It also has a competitive value as it differentiates a product from its substitutes and adds beauty to the product to grab immediate attention.
(ii) The Chernobyl Disaster: The Chernobyl disaster occurred on April 26, 1986 at Chernobyl nuclear plant located in Chernobyl city of Ukraine. It is a nuclear power generation station from where radioactive material drifted over the surrounding area causing more than 10,000 people died due to side effect of radiation. It lead to a series of genetic disorders or changes in the areas of Ukraine, Belrus and Russia.

(c) (i) At present the PLC of the Home Theatre System is in its growth stage where it is facing a tough competition. Still the sale at distribution is widening.
(ii) At this stage the Sakona Co. Ltd should adopt the following strategies:

1. Keep the price at competitive level.
2. More importance should be given to after sales service.
3. Try to introduce more versions of the Home Theatre System with improved features.
4. More advertising to be done to create brand image and more sales promotional activities to be introduced.

Question 9:

Case Study

It is the conviction of the management of Carmel Closure Co. Ltd. that its shareholders constitute an important part of the public. The management feels that the company should devote time and effort in studying the make-up, location, economic status and demography of this group to enable better communication and a stronger public relation policy.
Mr. Ramesh Sharma is the Public Relation Officer of the company. He agrees with the Management to a certain extent, however he would like to introduce other forms of public relations programmes.
(a) Why is it imperative for a company to maintain a good relationship with its shareholders?
How should Mr. Sharma go about planning a successful programme? [5]
(b) Mention two other public relations programmes that would be of paramount importance to the company. Give reasons to support your answer. [5]
(c) How would you explain to Mr. Sharma about the element ‘Empathy’ as being one of the key elements to establish good public relations? [5]

Answer:
(a) It is important for a company to maintain a good relationship with its shareholders because they are the one who contributes to the company’s share capital and assure the risk of the loss. The company should consider the shareholder as its actual owner and should always strive for a better relationship with its shareholders to hold their interest in the company and j promote holding of stock as a long term investment.
Mr. Sharma should provide the current information about the financial position and future prospectsnf the company in a simple and under-standable language. The company should organise share holder relation programmes to promote the long-term investment relationship with the company. This will reduce the dissatisfaction and organised opposition to management policies.

(b) The two public relation programmes that would paramount importance to the company are:

1. The importance should be given to good employee relations, by giving equal opportunities to the employees and to be a part of management. This will increase the adaptability of management policies more effectively. A two way r channel of communication should always be active between management and workers.
2. Consumer decides the success or failure of a business enterprise. Therefore, a sincere concern for consumers is very important. This can be easily achieved by developing better relations with consumers by regularly communicating with them through sales representatives, meetings, surveys, mailings, magazines and literature.

(c) Empathy means looking at things from others point of view which leads towards better understanding of another human being. It is basically concerned with the establishment of trust and rapport, which is the base for public relation. It involves seeing and feeling matters as others see and feel which builds more confidence of the public and promotes goodwill of the company. It also appreciate company’s perspective in a positive way by creating an atmosphere full of faith, trust and confidence.

Question 10:

Case Study

Ardent Aptec Ltd. is a telecommunication company. It gives top priority to employee training. The company believes that training contributes to a permanent relationship between superiors and subordinates. The company environment provides conditions favourable to learning and career growth. It also considers it as a continuous process.
The recruitment policy of the company is focused on campus recruitment and hence special steps are taken to ensure that the employees acquire the necessary skills. The accelerated rate of technological changes in the telecommunication industry has led to greater focus on retraining employees.
In addition to in-house training facilities, the company makes use of training programmes run by various technical and management institutes.
(a) Discuss any three types of training that can be undertaken by Ardent Aptec Ltd. [5]
(b) Why does Ardent Aptec Ltd. think it is important to train employees? [5]
(c) Discuss any three training methods that may be adopted by Ardent Aptec Ltd. [5]

Answer:
(a) The three types of training that can be undertaken by Ardent Aptec Ltd are as follows:

1. Coaching: Under this method of training, the employee gets instructions by the supervisors or by some experienced employee. This method of training is economical, more realistic, does not require any separate training department and it creates better understanding between the workers and their supervisors.
2. Lectures, Seminars and Conferences: Employees learn new ideas and latest changes taking place in the technology by attending lectures, seminars and conferences. This refresh their knowledge and they learn new ideas.
3. Job Rotation: In this method the trainee is periodically rotated from one job to another. This broadens the outlook of the employees, by making him learn a variety of tasks.

(b) Ardent Aptec Ltd, thinks training is very important because training is a learning experience which develops manpower to improve their job performance. It also helps workers to cope with the latest technological advancement taking place rapidly which boosts the morale of the workers to face the complex situations at the work place. Well trained employees require less supervision which reduces the cost of supervision and increases the probability of expansion of work.

(c) Three training methods that may be adopted by Ardent Aptec Ltd. are:

1. Lectures, Seminars and Conferences: Under such training method the employees learn new ideas and latest technological developments taking place in the industry. It refreshes their knowledge with new ideas.
2. Vestibule Training: This training is conducted away from the actual work place. Artificial working environment is created where the employees recover from their initial nervousness before going into an actual work place. This type of training permits greater emphasis on teaching the best method of work.
3. Sensitivity Training: This method helps the employees to learn more about themselves, their weaknesses and to develop self awareness. It also helps in promoting team spirit among the workers.

ICSE Class 10 Commercial Applications Previous Years Question Papers

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Board – Indian Certificate of Secondary Education (ICSE), www.cisce.org
Class – Class 10
Subject – Chemistry
Year of Examination – 2020, 2019, 2018, 2017.

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ICSE Chemistry Class 10 Solved Question Papers Last 10 Years 

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Board – Indian Certificate of Secondary Education (ICSE), www.cisce.org
Class – Class 10
Subject – English Literature
Year of Examination – 2020, 2019, 2018, 2017.

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ICSE Previous Year Question Papers Class 10

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Factorization Class 10 Maths ICSE Solutions

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Formulae

1. Factor Theorem: If f(x) is a polynomial and a is a real number, then (x – a) is a factor of f(x) if f(α) = 0.
2. Remainder Theorem: If a polynomial f(x) is divided by (x – a), then remainder =f(x).

Determine the Following

Question 1. Use remainder theorem and find the remainder when the polynomial g(x) = x³ + x² – 2x + 1 is divided by x – 3.

Question 2. (i) When x³ + 3x² – kx + 4 is divided by (x – 2), the remainder is k. Find the value of k.

Question 11. In the following two polynomials. Find the value of ‘a’ if x + a is a factor of each of the two:

Question 12. In the following two polynomials, find the value of ‘a’ if x – a is a factor of each of the two:

Question 15. In the following problems use the factor theorem to find if g(x) is a factor of p(x):

Question 16. If x – 2 is a factor of each of the following three polynomials. Find the value of ‘a’ in each case:

Question 17. Find the value of the constant a and b, if (x – 2) and (x + 3) are both factors of

Question 19. If x – 2 is a factor of

Prove the Following 

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Sales Tax and Value Added Tax Class 10 Maths ICSE Solutions

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Formulae

The amount of money paid by a customer for an article = The sale price of the article + Sales Tax on it, if any.
VAT (Value Added Tax):

1. Unlike sales tax, VAT is also collected by the state government.
2. It is not in addition to the existing Sales Tax, but is the replacement of Sales Tax. Presently, a majority of state governments have accepted the VAT system.
3. It is tax on the value added at each transfer of goods, from the original manufacturer to the retailer.
   Assuming that the rate of tax is 10% and a trader purchases an article for Rs. 800, the tax he pays = 10% Rs. 800 = Rs. 80.
   Now, if he sells the same article for Rs. 1,150.
   The tax he recovers (gets) = 10% of Rs. 1,150 = 115
   ∴ VAT = Tax recovered on the sale – Tax he paid on the purchase
   = Rs. 115 – Rs. 80 = 35.
4. The difference of tax recovered on the sale value and paid on the purchase value is deposited with the government as VAT.

Formulae Based Questions

Question 1. Sheela bought a V.C.R., at the list price of Rs. 13,500. If the rate of sale tax was 8%. Find the amount she had to pay for it.

Question 2. Rani purchases a pair of shoe whose sale price is Rs. 175. If she pays sales tax at the rate of 7%, how much amount does she pay as sales tax? Also find the net values of the pair of shoe.

Question 3. Sunita purchases a bicycle for Rs. 660. She has paid a sale tax of 10%. Find the list price of the bicycle.

Question 4. The price of a washing machine, inclusive of sales tax i, Rs. 13,530. If the sales tax is 10% find its list (or basic) price.

Question 5. Savita purchased an almirah for Rs. 4536 including sale tax. If the list price of the almirah is Rs. 4,200, find the rate of sale tax charged.

Question 6. The sale price of a television, inclusive of sales tax is Rs. 13,500. If sales tax is charged at the rate of 8% of the list price, find the list price of the television.

Question 7. The price of a washing machine inclusive of sale tax is Rs. 13,530. If the sale tax is 10% find its basic price.

Question 8. A shopkeeper buys on article whose list price is Rs. 450 at some rate of discount from a wholesaler. He sells the article to a consumer at the list price and charges sales tax at the rate of 6%. If the shopkeeper has to pay a VAT of Rs. 2.70, find the rate of discount at which he bought the article from the wholesaler.

Concept Based Questions

Question 1. Samir bought the following articles from a departmental store:

Question 2. A shopkeeper bought a washing machine at a discount of 20% from a wholesaler, the printed price of the washing machine being Rs. 18,000. The shopkeeper sells it to a consumer at a discount of 10% on the printed price. If the rate of sales tax is 8%, find:
(i) the VAT paid by the shopkeeper.
(ii) the total amount that the consumer pays for the washing machine.

Question 3. Find the tax paid by (i) the manufacturer, (ii) the whole saler, (iii) the retailer, (iv) the customer. If the rate of sales tax be 10%.

Question 4. A shopkeeper sells an article at its marked price (Rs. 7,500) and charges sales-tax at the rate of 12% from the customer. If the shopkeeper pays a VAT of Rs. 180; calculate the price (inclusive of tax) paid by the shopkeeper.

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Circles Class 10 Maths ICSE Solutions

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Formulae

Theorems based on chord properties:

1. Theorem: A straight line drawn from the centre of the circle to bisect a chord, which is not a diameter, is at right angles to the chord.
   Conversely, the perpendicular to a chord, from the centre of the circle, bisects the chord.
2. Theorem: There is one circle, and only one, which passes through three given points not in a straight line.
3. Theorem: Equal chords of a circle are equidistant from the centre.
   Conversely, chords of a circle, equidistant from the centre of the circle, are equal.
   

Theorems based on Arc and Chord properties:

1. Theorem: The angle which an arc of a circle subtends at the centre is double, that which it subtends at any point on the remaining part of the circumference.
2. Theorem: Angles in the same segment of a circle are equal.
3. Theorem: The angle in a semicircle is a right angle.
4. Theorem: In equal circles (or, in the same circle), if two arcs subtend equal angles at the centre, they are equal.
   Conversely, in equal circles (or, in the same circle), if two arcs are equal, they subtend equal angles at the centre.
5. Theorem: In equal circles (or, in the same circle), if two-chord are equal, they cut off equal arcs.
   Conversely, in equal circles (or, in the same circle, if two arcs are equal the chords of the arcs are also equal.

Theorems based on Cyclic properties: ABCD is a cyclic quadrilateral.

1. Theorem: The opposite angles of a cyclic quadrilateral (quadrilateral inscribed in a circle) are supplementary.
2. Theorem: The exterior angle of a cyclic quadrilateral is equal to the opposite interior angle.

Theorems based on Tangent Properties:

1. Theorem: The tangent at any point of a circle and the radius through this point are perpendicular to each other.
2. Theorem: If two circles touch each other, the point of contact lies on the straight line through the centres.
3. Theorem: From any point outside a circle two tangents can be drawn and they are equal in length.
4. Theorem: If a chord and a tangent intersect externally, then the product of the lengths of segments of the chord is equal to the square of the length of the tangent from the point of contact to the point of intersection.
5. Theorem: If a line touches a circle and from the point of contact, a chord is drawn, the angles between the tangent and the chord are respectively equal to the angles in the corresponding alternate segments.

Prove the Following 

Question 1. If a diameter of a circle bisect each of the two chords of a circle, prove that the chords are parallel.

Question 2. If two chords of a circle are equally inclined to the diameter through their point of intersection, prove that the chords are equal.

Question 3. In the given figure, OD is perpendicular to the chord AB of a circle whose centre is O. If BC is a diameter, show that CA = 2 OD.

Question 4. In Fig., l is a line intersecting the two concentric circles, whose common centre is O, at the points A, B, C and D. Show that AB = CD.

Question 6. ABCD is a cyclic quadrilateral AB and DC are produced to meet in E. Prove that

Question 7. In an isosceles triangle ABC with AB = AC, a circle passing through B and C intersects the sides. AB, and AC at D and E respectively. Prove that DE || BC.

Question 8. ABCD is quadrilateral inscribed in circle, having ∠A = 60°, O is the centre of the circle, show that

Question 9. Two equal circles intersect in P and Q. A straight line through P meets the circles in A and B. Prove that QA = QB

Question 11. Two circles are drawn with sides AB, AC of a triangle ABC as diameters. The circles intersect at a point D. Prove that D lies on BC.

Question 12. In the given figure, PT touches a circle with centre O at R. Diameter SQ when

Question 14. Prove that the line segment joining the midpoints of two equal chords of a circle substends equal angles with the chord.

Question 15. In an equilateral triangle, prove that the centroid and centre of the circum-circle (circumcentre) coincide.


Question 16. In Fig. AB and CD are two chords of a circle intersecting each other at P such that AP = CP. Show that AB = CD.

Question 17. Prove that the angle bisectors of the angles formed by producing opposite sides of a cyclic quadrilateral (Provided they are not parallel) intersect at right angle.

Question 18. In Fig. P is any point on the chord BC of a circle such that AB = AP. Prove that CP = CQ.

Question 19. The diagonals of a cyclic quadrilateral are at right angles. Prove that the perpendicular from the point of their intersection on any side when produced backward bisects the opposite side.

Question 20. In a circle with centre O, chords AB and CD intersect inside the circumference at E. Prove that ∠AOC + ∠BOD = 2∠AEC.

Question 21. In Fig. ABC is a triangle in which ∠BAC = 30°. Show that BC is the radius of the circum circle of A ABC, whose centre is O.

Question 22. Prove that the circle drawn on any one of the equal sides of an isosceles triangles as diameter bisects the base.

Question 23. In Fig. ABCD is a cyclic quadrilateral. A circle passing through A and B meets AD and BC in the points E and F respectively. Prove that EF || DC.

Question 25. If PA and PB are two tangent drawn from a point P to a circle with centre C touching it A and B, prove that CP is the perpendicular bisector of AB.

Question 26. Two circle with radii r₁ and r₂ touch each other externally. Let r be the radius of a circle which touches these two circle as well as a common tangent to the two circles, Prove that:

Question 27. If AB and CD are two chords which when produced meet at P and if AP = CP, show that AB = CD.

Question 28. In the figure, PM is a tangent to the circle and PA = AM. Prove that:

Question 29. In Fig. the incircle of ΔABC, touches the sides BC, CA and AB at D, E respectively. Show that:

Question 30. In Fig. TA is a tangent to a circle from the point T and TBC is a secant to the circle. If AD is the bisector of ∠BAC, prove that ΔADT is isosceles.

Question 32. In Fig. l and m are two parallel tangents at A and B. The tangent at C makes an intercept DE between n and m. Prove that ∠ DFE = 90⁰

Question 33. A circle touches the sides of a quadrilateral ABCD at P, Q, R, S respectively. Show that the angles subtended at the centre by a pair of opposite sides are supplementary.

Question 34. Two equal chords AB and CD of a circle with centre O, when produced meet at a point E, as shown in Fig. Prove that BE = DE and AE = CE.

Question 35. Prove that the quadrilateral formed by angle bisectors of a cyclic quadrilateral ABCD is also cyclic.

Figure Based Questions

Question 1. Two concentric circles with centre 0 have A, B, C, D as the points of intersection with the lines L shown in figure. If AD = 12 cm and BC s = 8 cm, find the lengths of AB, CD, AC and BD.

Question 2. In the given circle with diameter AB, find the value of x.

Question 3. In the given figure, the area enclosed between the two concentric circles is 770 cm². If the radius of outer circle is 21 cm, calculate the radius of the inner circle.

Question 4. Two chords AB and CD of a circle are parallel and a line L is the perpendicular bisector of AB. Show that L bisects CD.

Question 5. In the adjoining figure, AB is the diameter of the circle with centre O. If ∠BCD = 120°, calculate:

Question 6. Find the length of a chord which is at a distance of 5 cm from the centre of a circle of radius 13 cm.

Question 7. The radius of a circle is 13 cm and the length of one of its chord is 10 cm. Find the distance of the chord from the centre.

Question 9. AB is a diameter of a circle with centre C = (- 2, 5). If A = (3, – 7). Find
(i) the length of radius AC
(ii) the coordinates of B.

Question 10. AB is a diameter of a circle with centre O and radius OD is perpendicular to AB. If C is any point on arc DB, find ∠ BAD and ∠ ACD.

Question 11. In the given below figure,

Question 14. In the given figure O is the centre of the circle and AB is a tangent at B. If AB = 15 cm and AC = 7.5 cm. Calculate the radius of the circle.

Question 15. In Fig., chords AB and CD of the circle intersect at O. AO = 5 cm, BO = 3 cm and CO = 2.5 cm. Determine the length of DO.

Question 16. In the figure given below, PT is a tangent to the circle. Find PT if AT = 16 cm and AB = 12 cm.

Question 18. A, B and C are three points on a circle. The tangent at C meets BN produced at T. Given that ∠ ATC = 36° and ∠ ACT = 48°, calculate the angle subtended by AB at the centre of the circle.

Question 19. In the given figure, O is the centre of the circle and ∠PBA = 45°. Calculate the value of ∠PQB.

Question 20. Two chords AB, CD of lengths 16 cm and 30 cm, are parallel. If the distance between AB and CD is 23 cm. Find the radius of the circle.

Question 21. Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Find the distance between their centres.

Question 22. AB and CD are two chords of a circle such that AB = 6 cm, CD = 12 cm and AB || CD. If the distance between AB and CD is 3 cm, find the radius of the circle.

Question 24. AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, find the radius of the circle.

Question 26. In the figure given below,O is the centre of the circle. AB and CD are two chords of the circle. OM is perpendicular to AB and ON is perpendicular to CD.

Question 27. If O is the centre of the circle, find the value of x in each of the following figures

Question 29. In the given figure, AB is the diameter of a circle with centre O.

Question 30. In ABCD is a cyclic quadrilateral; O is the centre of the circle. If BOD = 160°, find the measure of BPD.

Question 32. In the given figure O is the centre of the circle, ∠ BAD = 75° and chord BC = chord CD. Find:

Question 37. ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm (not drawn to scale). Three circles are drawn touching each other with the vertices as their centres. Find the radii of the three circles.

Question 40. P and Q are the centre of circles of radius 9 cm and 2 cm respectively; PQ = 17 cm. R is the centre of circle of radius x cm, which touches the above circles externally, given that ∠ PRQ = 90°. Write an equation in x and solve it.

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Ratio and Proportion Class 10 Maths ICSE Solutions

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Formulae

1. When two or more ratios are multiplied together, they are said to be compounded.
   
2. A ratio compounded with itself is called duplicate ratio of the given ratio.
   
3. The reciprocal ratio a : b is b : a.
4. Proportion: An equality of two ratios is called a proportion.
   
5. The quantities a, b, c and d are called the terms of the proportion; a, b, c and d are the first, second, third and fourth terms respectively. First and fourth terms are called extremes (or extreme terms). Second and third terms are called means (or middle terms).
   
   ⇒ product of extreme terms = product of middle terms.
   Thus, if the four quantities are in proportion then the product of extreme terms = product of middle terms. This is called cross product rule.
6. Fourth proportional: If a, b, c and d are in proportion then d is called the fourth proportional.
   
7. In particular, three (non-zero) quantities of the same kind, a, b and c are said to be in continued proportion iff the ratio of a to b is equal to the ratio of b to c.
   
   
8. First proportional: If a, b are c are in continued proportion, then a is called the first proportional.
   Third proportional: If a, b and c are in continued proportion, then c is called the third proportional.
   Mean proportional: If a, b and c are in continued proportion, then b is called the mean proportional of a and c.
   Thus, if b is the mean proportional of a and c, then
   
   Hence, the mean proportion between two numbers is the positive square root of their product.

Properties of Ratio & Proportion:

Determine the Following

Question 1. Which is greater 4 : 5 or 19 : 25.

Question 2. Arrange 5 : 6, 8 : 9, 13 : 18 and 7 : 12 in ascending order of magnitude.

Question 3. Find:

Question 4. If 3x – 2y – 7z = 0 and 2x + 3y – 5z = 0 find x : y : z.

Question 5. Two numbers are in the ratio of 3 : 5. If 8 is added to each number, the ratio becomes 2 : 3. Find the numbers.

Question 6. If x : y = 2 : 3, find the value of (3x + 2y) : (2x + 5y).

Question 7. Divide Rs. 720 between Sunil, Sbhil and Akhil. So that Sunil gets 4/5 of Sohil’s and Akhil’s share together and Sohil gets 2/3 of Akhil’s share.

Question 8. The ratio between two numbers is 3 : 4. If their L.C.M., is 180. Find the numbers.

Question 10. Find the compound ratio of the following:
(i) If A : B = 4 : 5, B : C = 6 : 7 and C : D = 14 : 15. Find A : D.
(ii) If P : Q = 6 : 7, Q : R = 8 : 9 find P : Q : R.

Question 11. Find:
(i) The duplicate ratio of 7 : 9
(ii) The triplicate ratio of 3 : 7
(iii) The sub-duplicate ratio of 256 : 625
(iv) The sub-triplicate ratio of 216 : 343
(v) The reciprocal ratio of 8 : 15.

Question 13. (i) What number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional ?
(ii) What least number must be added to each of the numbers 5, 11, 19 and 37, so that they are in proportion ?

Question 15. The work done by (x – 3) men in (2x + 1) days and the work done by (2x + 1) men in (x + 4) days are in the ratio of 3 : 10. Find the value of x.

Question 16. Find the third proportional to:

Question 17. Find the fourth proportional to:

Question 18. Find the two numbers such that their mean proprtional is 24 and the third proportinal is 1,536.

Question 19. Using componendo and idendo, find the value of x

Question 20. Solve for x:

Question 21. Using the properties of proportion, solve for x, given.

Question 25. Find the value of

Prove the Following 

Question 1. If (a – x) : (b – x) be the duplicate ratio of a : b show that:

Question 2. If a : b with a ≠ b is the duplicate ratio of a + c : b + c, show that c² = ab.

Question 3. If a : b = 5 : 3, show that (5a + 8b) : (6a – 7b) = 49 : 9.

Question 7. If x and y be unequal and x : y is the duplicate ratio of (x + z) and (y + z) prove that z is mean proportional between x and y.

Question 8. If ax = by = cz, prove that

Question 15. If a, b, c, d are in continued proportion, prove that

Question 16. If q is the mean proportional between p and r, prove that

Question 21. If a, b, c, d are in continued proportion, prove that:

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Get ICSE Solutions for Class 10 Mathematics Chapter 1 Compound Interest for ICSE Board Examinations on APlusTopper.com. We provide step by step Solutions for ICSE Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download option.

Compound Interest Class 10 Maths ICSE Solutions

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Formulae

Formulae Based Questions

Question 1. Find the Compound Interest on Rs. 2,000 for 3 years at 15% per annum Compounded annually.

Question 2. If the interest is compounded half yearly, calculate the amount when the Principal is Rs. 7,400, the rate of interest is 5% per annum and the duration is one year.

Question 3. In how many years will Rs. 15,625 amount to Rs. 17,576 at 4% p.a., compound interest?

Question 4. The population of a city is 1,25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively. Calculate the population of the city after 3 years.

Question 5. There is a continuous growth in population of a village at the rate of 5% per annum. If its present population is 9,261, what population was 3 years ago?

Question 6. The population of a town 2 years ago was 62,500. Due to migration to cities, it decreases at the rate of 4% per annum. Find its present population.

Question. 7. The total number of industries in a particular portion of the country is approximately 1,600. If the government has decided to increase the number of industries in the area by 20% every year; find the approximate number of industries after 2 years.

Question 8. The cost of a machine depreciates by 10% every year. If its present worth is Rs.18,000; what will be its value after three years?

Question 9. 6000 workers were employed to construct a river bridge in four years. At the end of first year, 20% workers were retrenched; At the end of second year 5% of the workers at that time were retrenched. However, to complete the project in time, the number of workers was increased by 15% at the end of third year. How many workers were working during the fourth year?

Concept Based Questions

Question 1. The S.I. and C.I. on a sum of money for 2 years is Rs. 200 and 210 respectively. If the rate of interest is the same. Find the sum and rate.

Question 2. Find the difference between the simple interest and compound interest on 2,500 for 2 years at 4% p.a., compound interest being reckoned semi-annualy.

Question 3. A sum of money is lent out at compound interest for two years at 20% p.a., being reckoned yearly. If the same sum of the money was lent Gut at compound interest of the same rate of percent per annum C.I., being reckoned half yearly would have fetched Rs. 482 more by way of interest. Calculate the sum of money lent out.

Question 5. Mr. Kumar borrowed Rs. 15,000 for two years. The rate of interest for the two successive years are 8% and 10% respectively. If he repays Rs. 6,200 at the end of the first year, find the outstanding amount at the end of the second year.

Question 6. The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1320 and for the third year is Rs. 1452. Calculate the rate of interest and the original sum of money.

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