#### Chapters

Chapter 2: Banking (Recurring Deposit Account)

Chapter 3: Shares and Dividend

Chapter 4: Linear Inequations (In one variable)

Chapter 5: Quadratic Equations

Chapter 6: Solving (simple) Problems (Based on Quadratic Equations)

Chapter 7: Ratio and Proportion (Including Properties and Uses)

Chapter 8: Remainder and Factor Theorems

Chapter 9: Matrices

Chapter 10: Arithmetic Progression

Chapter 11: Geometric Progression

Chapter 12: Reflection

Chapter 13: Section and Mid-Point Formula

Chapter 14: Equation of a Line

Chapter 15: Similarity (With Applications to Maps and Models)

Chapter 16: Loci (Locus and Its Constructions)

Chapter 17: Circles

Chapter 18: Tangents and Intersecting Chords

Chapter 19: Constructions (Circles)

Chapter 20: Cylinder, Cone and Sphere

Chapter 21: Trigonometrical Identities

Chapter 22: Height and Distances

Chapter 23: Graphical Representation

Chapter 24: Measure of Central Tendency(Mean, Median, Quartiles and Mode)

Chapter 25: Probability

#### Selina Selina ICSE Concise Mathematics Class 10

## Chapter 3: Shares and Dividend

#### Chapter 3: Shares and Dividend solutions [Page 0]

How much money will be required to buy 200, Rs. 25 shares at a premium of Rs. 2?

How much money will be required to buy 125, Rs. 30 shares at a discount of Rs. 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 per cent.

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

A man invests Rs 800 in buying Rs 5 shares and when they are selling at a premium of Rs 1.15, he sells all the shares. Find his profit and profit per cent.

Find the annual income derived from 250, Rs. 60 shares paying 5% dividend.

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

(1) his annual income

(2) his percentage income on his investment.

A man invests Rs 7,770 in a company paying 5% dividend when a share of nominal value of Rs 100 sells at a premium of Rs 5. Find:

1) the number of shares bought;

2) annual income;

3) percentage income.

A man buys Rs 50 shares of a company, paying 12% dividend, at a premium of Rs 10. Find:

(1) the market value of 320 shares;

(2) his annual income;

(3) his profit per cent.

A man buys Rs 75 shares at a discount of Rs 15 of a company paying 20% dividend. Find:

(1) the market value of 120 shares;

(2) his annual income;

(3) his profit per cent.

A man has 300, Rs 50 shares of a company paying 20% dividend. Find his net income after paying 3% income tax.

A company pays a dividend of 15% on its ten-rupee shares from which it deducts income tax at the rate of 22%. Find the annual income of a man who owns one thousand shares of this company.

A man invests Rs 8,800 in buying shares of a company of face value of rupees hundred each at a premium of 10%. If he earns Rs 1,200 at the end of the year as the dividend, find:

(1) the number of shares he has in the company.

(2) the dividend per cent per share.

A man invests Rs 1,680 in buying shares of nominal value ₹ 24 and selling at 12% premium. The dividend on the shares is 15% per annum. Calculate:

1) the number of shares he buys;

2) the dividend he receives annually.

By investing Rs 7,500 in a company paying 10 per cent dividend, an annual income of Rs 500 is received. What price is paid for each of Rs 100 share?

#### Chapter 3: Shares and Dividend solutions [Page 0]

A man buys 75, Rs 100 shares of a company which pays 9 per cent dividend. He buys shares at such a price that he gets 12 per cent of his money. At what price did he buy the shares?

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

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%.

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 per cent.

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

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

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?

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

1) the amount invested by him.

2) his total income from the shares.

3) percentage return on his money.

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

(1) the amount invested by him.

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

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

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

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

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

A lady holds 1800, Rs 100 shares of a company that pays 15% dividend annually. Calculate her annual dividend. If she had bought these shares at 40% premium, what is the return she gets as per cent on her investment? Give your answer to the nearest integer.

A man invests Rs 11,200 in a company paying 6 per cent per annum when its Rs 100 shares can be bought for ₹ 140. Find:

1) his annual dividend

2) his percentage return on his investment.

Mr Sharma has 60 shares of nominal value Rs 100 and decides to sell them when they are at a premium of 60%. He invests the proceeds in shares of nominal value Rs 50, quoted at 4% discount, and paying 18% dividend annually. Calculate :

1) the sale proceeds

2) the number of shares he buys and

3) his annual dividend from the shares.

A company with 10,000 shares of nominal value Rs 100 declares an annual dividend of 8% to the shareholders

1) Calculate the total amount of dividend paid by the company.

2) Ramesh had bought 90 shares of the company at Rs 150 per share. Calculate the dividend he receives and the percentage of return on his investment.

Which is the better investment: 16% Rs 100 shares at 80 or 20% Rs 100 shares at 120?

A man has a choice to invest in hundred-rupee shares of two firms at Rs 120 or at Rs 132. The first firm pays a dividend of 5% per annum and the second firm pays a dividend of 6% per annum. Find:

(i) which company is giving a better return.

(ii) if a man invests Rs 26,400 with each firm, how much will be the difference between the annual returns from the two firms.

A man bought 360, ten-rupee shares of a company, paying 12% per annum. He sold the shares when their price rose to Rs 21 per share and invested the proceeds in five-rupee shares paying 4.5 per cent per annum at Rs 3.50 per share. Find the annual change in his income.

A man sold 400 (Rs 20) shares of a company, paying 5% at Rs 18 and invested the proceeds in (Rs 10) shares of another company paying 7% at Rs 12. How many (Rs 10) shares did he buy and what was the change in his income?

Two brothers A and B invest Rs 16,000 each in buying shares of two companies. A buys 3% hundred-rupee shares at 80 and B buys ten-rupee shares at par. If they both receive equal dividend at the end of the year, find the rate per cent of the dividend received by B

A man invests Rs 20,020 in buying shares of nominal value Rs 26 at 10% premium. The dividend on the shares is 15% per annum. Calculate

1) the number of shares he buys

2) the dividend he receives annually.

3) the rate of interest he gets on his money.

Mrs. P. Chandra invested Rs. 19,200 in 15% Rs. 100 shares at 20% discount. After a year, she sold these shares at Rs. 90 each and invested the proceeds (including her dividend) in 20%, Rs. 50 shares at Rs. 42. Find:

(i) The dividend for the first year.

(ii) Her annual income in the second year.

(iii) The percentage change in her return on her original investment.

Govind invested Rs. 19,200 in 15% Rs 100 shares at 20% premium. After a year, he sold these shares at Rs. 140 each and invested the proceeds (including his dividend) in 20%, Rs. 20 shares at Rs. 16. Find:

i) The dividend for the first year.

(ii) Her annual income in the second year.

(iii) The percentage change in his return on her original investment.

#### Chapter 3: Shares and Dividend solutions [Page 0]

A man bought Rs. 40 shares at a premium of 40%. Find his income, if he invests Rs. 14,000 in these shares and receives a dividend at the rate of 8% on the face value of the shares.

A man bought Rs. 40 shares at a discount of 40%. Find his income, if he invests Rs. 12,000 in these shares and receives a dividend at the rate of 11% on the face value of the shares.

A sum of rupees 11,880 is invested in Rs. 50 shares available at 12% discount. Find the income, if a dividend of 12% is given on the shares

Rajat buys Rs. 80 shares at 30% premium in a company paying 18% dividend. Find:

(i) The market value of 150 shares.

(ii) Rajat’s annual income from these shares.

(iii) Rajat’s percentage return from this investment.

Peter invests Rs. 5,625 in a company paying 7% per annum when a share of Rs. 10 stands from Rs. 12.50. Find Peter’s income from this investment.

If he sells 60% of these shares from Rs. 10 each, find his gain or loss in this transaction.

Mrs. Sharma buys 85 shares (par value Rs. 100) at Rs. 150 each.

(i) If the dividend is 6.5%, what will be her annual income?

(ii) If she wants to increase her income by Rs. 260; how much more should she invest?

A company gives x% dividend on its Rs. 60 shares, whereas the return on the investment in these shares is (x + 3) %. If the market value of each share is Rs. 50, find the value of x.

How much should a man invest in Rs. 100 shares selling at Rs. 85 to obtain an annual income of Rs. 1,800; if the dividend declared is 12%? Also, find the percentage return on this investment.

A dividend of 10% was declared on shares with a face value of Rs. 60. If the rate of return is

12%, calculate:

(i) The market value of the share.

(ii) The amount to be invested to get an annual income of Rs. 1,200.

Mr. Gupta has a choice to invest in ten-rupee shares of two firm at Rs. 13 or at Rs. 16. 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.

A man invested Rs 45,000 in 15% Rs100shares quoted at Rs 125. When the market value of these shares rose to Rs 140, he sold some shares, just enough to raise Rs 8,400. Calculate:

(1) the number of shares he still holds;

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

Mr.Tiwari. invested Rs 29,040 in 15% Rs 100 shares quoted at a premium of 20%. Calculate:

(1) the number of shares bought by Mr Tiwari.

(2) Mr. Tiwari’s income from the investment.

(3) the percentage return on his investment.

A dividend of 12% was declared on Rs 150 shares selling at a certain price. If the rate of return is 10%, calculate:

(1) the market value of the shares.

(2) the amount to be invested to obtain an annual dividend of Rs 1,350.

Divide Rs 50,760 into two parts such that if one part is invested in 8% Rs 100 shares at 8% discount and the other in 9% Rs 100 shares at 8% premium, the annual incomes from both the investments are equal.

Mr Shameem invested 33 1/3% of his savings in 20% Rs 50 shares quoted at Rs 60 and the remainder of the savings in 10% Rs 100 share quoted at ₹ 110. If his total income from these investments is Rs 9,200; find :

(1) his total savings

(2) the number of Rs 50 share

(3) the number of Rs 100 share

Vivek invests Rs 4,500 in 8%, Rs 10 shares at Rs 5. He sells the shares when the price rises to Rs 30, and invests the proceeds in 12% Rs 100 shares at Rs 125. Calculate :

(1) the sale proceeds

(2) the number of Rs 125 shares he buys.

(3) the change in his annual income from the dividend.

Mr. Parekh invested Rs. 52,000 on Rs. 100 shares at a discount of Rs. 20 paying 8% dividend. At the end of one year, he sells the shares at a premium of Rs. 20. find

1) The annual dividend

2) The profit earned including his dividend.

#### Selina Selina ICSE Concise Mathematics Class 10

#### Textbook solutions for Class 10

## Selina solutions for Class 10 Mathematics chapter 3 - Shares and Dividend

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Concepts covered in Class 10 Mathematics chapter 3 Shares and Dividend are Shares and Dividends Examples, Shares and Dividends.

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