#### 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

## Chapter 3: Shares and Dividend

#### Exercise 3(A) [Page 29]

### Selina solutions for Concise Mathematics Class 10 ICSE Chapter 3 Shares and Dividend Exercise 3(A) [Page 29]

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

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

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 125, Rs.120 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?

#### Exercise 3(B) [Pages 36 - 37]

### Selina solutions for Concise Mathematics Class 10 ICSE Chapter 3 Shares and Dividend Exercise 3(B) [Pages 36 - 37]

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 shares for Rs 40 each, a man gets a 4 percent profit on his investment. What rate percent 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.

#### Exercise 3(C) [Pages 37 - 38]

### Selina solutions for Concise Mathematics Class 10 ICSE Chapter 3 Shares and Dividend Exercise 3(C) [Pages 37 - 38]

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

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.

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

Gagan invested Rs.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.

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

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.

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

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.

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.

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.

Salman buys 50 shares of face value Rs.100 available at Rs.132.

(i) What is his investment?

(ii) If the dividend is 7.5%, what will be his annual income?

(iii) If he wants to increase his annual income by Rs.150, how many extra shares should he buy?

Salman invests a sum of money in Rs.50 shares, paying 15% dividend quoted at 20% premium. If his annual dividend is Rs.600, calculate :

(i) The number of shares he bought.

(ii) His total investment.

(iii) The rate of return on his investment.

Rohit invested Rs. 9,600 on Rs. 100 shares at Rs. 20 premium paying 8% dividend. Rohit sold the shares when the price rose to Rs. 160. He invested the proceeds (excluding dividend) in 10% Rs. 50 shares at Rs. 40. Find the :

(i) Original number of shares.

(ii) Sale proceeds.

(iii) New number of shares.

(iv) Change in the two dividends.

How much should a man invest in Rs. 50 shares selling at Rs. 60 to obtain an income of Rs. 450, if the rate of dividend declared is 10%. Also find his yield percent, to the nearest whole number.

## Chapter 3: Shares and Dividend

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

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

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