ICSE Class 10 Maths Selina Solutions Chapter 3 Shares and Dividends

ICSE Class 10 Maths Selina Solutions Chapter 3: In ICSE Class 10 Maths Selina Solutions Chapter 3, students learn about shares and dividends with two variables. They study how dividends are calculated based on the number of shares and their face value.

ICSE Class 10 Maths Selina Solutions Chapter 3 Shares and Dividends Overview

ICSE Class 10 Maths Selina Solutions Chapter 3 PDF

ICSE Class 10 Maths Selina Solutions Chapter 3 Shares and Dividends PDF

ICSE Class 10 Maths Selina Solutions Chapter 3 Shares and Dividends Exercise 3(A)

1. How much money will be required to buy 400, Rs.12.50 shares at a premium of Rs.1?

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2. How much money will be required to buy 250, Rs.15 shares at a discount of Rs.1.50?

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3. A person buys 120 shares at a nominal value of Rs 40 each, which he sells at Rs 42.50 each. Find his profit and profit percent.

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4. Find the cost of 85 shares of Rs 60 each when quoted at Rs 63.25.

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5. A man invests Rs800 in buying Rs5 shares and when they are selling at a premium of Rs1.15, he sells all the shares. Find his profit and profit percent.

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6. Find the annual income derived from 125, Rs.120 shares paying 5% dividend.

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7. A man invests Rs 3,072 in a company paying 5% per annum, when its Rs 10 share can be bought for Rs 16 each. Find:

(i) his annual income

(ii) his percentage income on his investment.

Solution:

ICSE Class 10 Maths Selina Solutions Chapter 3 Shares and Dividends Exercise 3(B) Page No: 36

1. A man buys 75, Rs 100 shares paying 9 percent dividend. He buys shares at such a price that he gets 12 percent of his money. At what price did he buy the shares?

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2. By purchasing Rs 25 gas shares for Rs 40 each, a man gets 4 percent profit on his investment. What rate percent is the company paying? What is his dividend if he buys 60 shares?

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3. Hundred rupee shares of a company are available in the market at a premium of Rs 20. Find the rate of dividend given by the company, when a man’s return on his investment is 15%.

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4. Rs 50 shares of a company are quoted at a discount of 10%. Find the rate of dividend given by the company, the return on the investment on these shares being 20 percent.

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5. A company declares 8 percent dividend to the shareholders. If a man receives Rs 2,840 as his dividend, find the nominal value of his shares.

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6. How much should a man invest in Rs 100 shares selling at Rs 110 to obtain an annual income of Rs 1,680, if the dividend declared is 12%?

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7. A company declares a dividend of 11.2% to all its share-holders. If its Rs 60 share is available in the market at a premium of 25%, how much should Rakesh invest, in buying the shares of this company, in order to have an annual income of Rs 1,680?

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8. A man buys 400, twenty-rupee shares at a premium of Rs 4 each and receives a dividend of 12%. Find:

(i) the amount invested by him.

(ii) his total income from the shares.

(iii) percentage return on his money.

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9. A man buys 400, twenty-rupee shares at a discount of 20% and receives a return of 12% on his money. Calculate:

(i) the amount invested by him.

(ii) the rate of dividend paid by the company.

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10. A company, with 10,000 shares of Rs 100 each, declares an annual dividend of 5%.

(i) What is the total amount of dividend paid by the company?

(ii) What should be the annual income of a man who has 72 shares in the company?

(iii) If he received only 4% of his investment, find the price he paid for each share.

Solution:

ICSE Class 10 Maths Selina Solutions Chapter 3 Shares and Dividends Exercise 3(C) Page No: 37

1. By investing Rs.45,000 in 10% Rs.100 shares, Sharad gets Rs.3,000 as dividend. Find the market value of each share.

Solution:

2. Mrs. Kulkarni invests Rs.1, 31,040 in buying Rs.100 shares at a discount of 9%. She sells shares worth Rs.72,000 at a premium of 10% and the rest at a discount of 5%. Find her total gain or loss on the whole.

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3. A man invests a certain sum on buying 15% Rs.100 shares at 20% premium. Find :

(i) His income from one share

(ii) The number of shares bought to have an income, from the dividend, Rs.6480

(iii) Sum invested

Solution:

4. Gagan invested 80% of his savings in 10% Rs.100 shares at 20% premium and the rest of his savings in 20% Rs.50 shares at Rs.20% discount. If his incomes from these shares is Rs.5,600 calculate:

(i) His investment in shares on the whole

(ii) The number of shares of first kind that he bought

(iii) Percentage return, on the shares bought on the whole.

Solution:

5. Ashwarya bought 496, Rs.100 shares at Rs.132 each, find:

(i) Investment made by her

(ii) Income of Ashwarya from these shares, if the rate of dividend is 7.5%.

(iii) How much extra must Ashwarya invest in order to increase her income by Rs.7,200

Solution:

6. Gopal has some Rs.100 shares of company A, paying 10% dividend. He sells a certain number of these shares at a discount of 20% and invests the proceeds in Rs.100 shares at Rs.60 of company B paying 20% dividend. If his income, from the shares sold, increases by Rs.18,000, find the number of shares sold by Gopal.

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7. A man invests a certain sum of money in 6% hundred-rupee shares at Rs.12 premium. When the shares fell to Rs.96, he sold out all the shares bought and invested the proceed in 10%, ten-rupee shares at Rs.8. If the change in his income is Rs.540, Find the sum invested originally

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8. Mr. Gupta has a choice to invest in ten-rupee shares of two firms at Rs13 or at Rs16. If the first firm pays 5% dividend and the second firm pays 6% dividend per annum, find:

(i) which firm is paying better.

(ii) if Mr. Gupta invests equally in both the firms and the difference between the returns from them is Rs 30, find how much, in all, does he invest.

Solution:

9. Ashok invested Rs.26,400 in 12%, Rs.25 shares of a company. If he receives a dividend of Rs.2,475, find the:

(i) number of shares he bought.

(ii) market value of each share.

Solution:

10. A man invested Rs45,000 in 15% Rs100shares quoted at Rs125. When the market value of these shares rose to Rs140, he sold some shares, just enough to raise Rs8,400. Calculate:

(i)the number of shares he still holds;

(ii)the dividend due to him on these remaining shares.

Solution:

Benefits of ICSE Class 10 Maths Selina Solutions Chapter 3 Shares and Dividends

• Concept Clarity: The solutions provide clear explanations and examples that help students understand the concepts of shares, dividends, and their calculations involving two variables.
• Problem-Solving Skills: By practicing with these solutions, students enhance their ability to solve algebraic equations related to shares and dividends improving their mathematical problem-solving skills.
• Exam Preparation: The solutions cover important topics and typical exam questions, which aid students in preparing effectively for their ICSE Class 10 Maths exams.
• Enhanced Learning: Through practical examples and step-by-step solutions, students gain a deeper understanding of how shares and dividends work strengthening their overall comprehension of mathematical concepts.