Shares and Dividends Exe-3B Concise Class-10 ICSE Mathematics Selina Solution Ch-3. We Provide Step by Step Solutions / Answer of questions of Selina Concise Maths. Visit official Website CISCE for detail information about ICSE Board Class-10 Mathematics.
Shares and Dividends Exe-3B Concise Class-10 ICSE Mathematics Selina Solution Ch-3
| Board | ICSE |
| Publications | Selina |
| Subject | Maths |
| Class | 10th |
| Chapter-3 | Shares and Dividends |
| Writer | R.K. Bansal |
| Exe-3B | Miscellaneous Questions on Shares and Dividends |
| Edition | 2025-2026 |
Exe-3B Miscellaneous Problems
Shares and Dividends Exe-3B Concise Class-10 ICSE Mathematics Selina Solution Ch-3
Que-1. A man buys 75, Rs100 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 ?
Ans- Nominal value of 1share= Rs100
Nominal value of 75 shares= 100 75= Rs7,500
Dividend% = 9%
∴ Dividend % = 9/100 of 7500
=> Rs675
Let market price of 1 share= Rsy
Then market price of 75 shares= Rs75y
Profit% on investment= 12%
=> 12/100 x 75y
=> y = Rs 75
Que-2. By purchasing Rs25 gas shares for Rs40 each, a man gets 4percent profit on his investment. What rate percent is the company paying? What is his dividend if he buys 60 shares?
Ans- Nominal value of 1 share= Rs25
Market value of 1 share= Rs40
Profit% on investment= 4%
Then profit on 1 share = 4% of Rs40= Rs1.60
∴ Dividend % = 1.60/25 of 100
=> 6.4 %
No. of shares purchased= 60
Then dividend on 60 shares= 60 Rs1.60= Rs96 Ans.
Que-3. Hundred rupee shares of a company are available in the market at a premium of Rs20. Find the rate of dividend given by the company, when a man’s return on his investment is 15%.
Ans- Nominal value of 1 share= Rs100
Market value of 1 share= Rs100+ Rs20= Rs120
Profit% on investment of 1 share=15%
Then profit= 15% of Rs120= Rs18
∴ Dividend % = 18/100
=> 18 %
Que-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.
Ans- Nominal value of 1 share= Rs50
Market value of 1 share= Rs50 – 10% of Rs50
= Rs50 – Rs5= Rs45
Profit % on investment= 20%
Then profit on 1 share= 20% of Rs45= Rs9
∴ Dividend % = 9/50 of 100
=> 18%
Que-5. A company declares 8 percent dividend to the share holders. If a man receives Rs2,840 as his dividend, find the nominal value of his shares.
Ans- Dividend% = 8%
Dividend = Rs2,840
Let nominal value of shares= Rsy
Dividend = Rate of dividend × Nominal value of a share
So, 2840 = 8/100 x y
=> y = 2840×100 / 8
= 355 × 100
= 35,500
Nominal value of his share = Rs. 35,500
Que-6. How much should a man invest in Rs100 shares selling at Rs110 to obtain an annual income of Rs1,680, if the dividend declared is 12%?
Ans- Nominal value of 1 share= Rs100
Market value of 1 share= Rs110
Let no. of shares purchased= n
Then nominal value of n shares= Rs(100n)
Dividend%= 12%
Dividend= Rs1,680
=> 12/100 x 100n = Rs 1680
=> n = 1680 x 100 / 12 x 100
Then market value of 140 shares= 140 x 110= Rs15,400 Ans.
Que-7. A company declares a dividend of 11.2% to all its share-holders. If its Rs60 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 Rs1,680?
Ans- Nominal value of 1 share= Rs60
Market value of 1 share= Rs60+ 25% of Rs60
= Rs60+ Rs15= Rs75
Let no. of shares purchased= n
Then nominal value of n shares= Rs(60n)
Dividend%= 11.2%
Dividend= Rs1,680
∴ 11.2/100 x 60n = 1680
=> n = 1680 x 100 / 11.2 x 60 = 250
Then market value of 250 shares= 250 x 75= Rs18,750 Ans.
Que-8. A man buys 400, twenty-rupee shares at a premium of Rs4 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.
Ans- Nominal value of 1 share= Rs20
Market value of 1 share= Rs20+Rs4= Rs24
No. of shares purchased= 400
Nominal value of 400 shares= 400 x 20= Rs8,000
(i)Market value of 400 shares= 400 x 24= Rs9,600
(ii)Dividend%= 12%
Dividend = 12% of Rs8,000
=> 12/100 x 8000 = Rs 960
(iii) Percentage return = Income / Investment x 100 %
=> 96/9600 x 100%
=> 10%
Que-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.
Ans- Nominal value of 1 share= Rs20
Market value of 1 share= Rs20 – 20% of Rs20
= Rs20 – Rs4 = Rs16
No. of shares purchased= 400
Nominal value of 400 shares= 400 x 20= Rs8,000
(i)Market value of 400 shares= 400 x 16= Rs6,400
(ii)Return%= 12%
Income= 12% of Rs6,400
=> 12/100 x 6400 = Rs 768
Dividend % = Income / Nominal value x 100%
=> 768/8000 x 100%
=> 9.6%
Que-10. A company, with 10,000 shares of Rs100 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.
Ans- Nominal value of 1 share= Rs100
Nominal value of 10,000shares =10,000 x Rs100= Rs10,00,000
(i)Dividend%= 5%
5/100 x 1000000 = Rs 50000
(ii)Nominal value of 72 shares= Rs100 x 72= Rs7,200
Dividend= 5% of Rs7,200
=> 5/100 x 7200 = Rs 360
(iii)Let market value of 1 share= Rs y
Then market value of 10,000 shares= Rs(10,000y)
Return%= 4%
=> 4/100 x 10000y = Rs 50000
=> y = Rs 125
Que-11. A lady holds 1800, Rs100 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 percent on her investment. Give your answer to the nearest integer.
Ans- Nominal value of 1 share= Rs100
Market value of 1 share= Rs100+40% of Rs100
= Rs100+Rs40= Rs140
No. of shares purchased= 1800
Nominal value of 1800 shares= 1800 x 100= Rs1,80,000
Market value of 1800 shares= 1800 x 140 = Rs2,52,000
(i)Dividend%= 15%
Dividend = 15% of Rs1,80,000
=> 15/100 x 180000 = Rs 27000
(ii) Return % = income/investment x 100%
=> 27000/252000 x 100
=> 10.7%
=> 11%
Que-12. A man invests Rs11,200 in a company paying 6 percent per annum when its Rs 100 shares can be bought for Rs140. Find: (i)his annual dividend (ii)his percentage return on his investment.
Ans- Nominal value of 1 share= Rs100
Market value of 1 share= Rs140
Total investment= Rs11,200
no. of shares purchased = 11200/140 = 80 shares
Then nominal value of 80 shares= 80 x 100= Rs8,000
(i)Dividend%= 6%
Dividend= 6% of Rs8,000
=> 6/100 x 8000 = Rs 480
(ii) Return % = income/investment x 100%
=> 480/11200 x 100
=> 4.29%
Que-13. Mr. Sharma has 60 shares of nominal value Rs100 and sells them when they are at a premium of 60%. He invests the proceeds in shares of nominal value Rs50, quoted at 4% discount, and paying 18% dividend annually. Calculate :(i)the sale proceeds(ii)the number of shares he buys and(iii)his annual dividend from the shares.
Ans- 1st case
Nominal value of 1 share= Rs100
Nominal value of 60 shares= Rs100 x 60= Rs6,000
Market value of 1 share= Rs100+ 60% of Rs100
= Rs100+ Rs60= Rs160
Market value of 60 shares= Rs160 x 60= Rs9,600 Ans.
(ii) Nominal value of 1 share= Rs50
Market value of 1 share= Rs50 – 4% of Rs50
= Rs50 – Rs2= Rs48
no of shares purchased = 9600/48 = 200 shares
(iii)Nominal value of 200 shares=Rs50 x 200= Rs10,000
Dividend%= 18%
Dividend= 18% of Rs10,000
=> 18/100 x 10000
=> Rs 1800
Que-14. A company with 10,000 shares of nominal value Rs100 declares an annual dividend of 8% to the share-holders.(i)Calculate the total amount of dividend paid by the company.(ii)Ramesh had bought 90 shares of the company at Rs150 per share. Calculate the dividend he receives and the percentage of return on his investment.
Ans- (i) Nominal value of 1 share= Rs100
Nominal value of 10,000 shares= Rs100 x 10,000= Rs10,00,000
Dividend%= 8%
Dividend = 8% of Rs10,00,000
=> 8/100 x 1000000 = Rs 80000
(ii) Market value of 90 shares= Rs150 x 90= Rs13,500
Nominal value of 90 shares= Rs100 x 90= Rs9,000
Dividend = 8% of Rs9,000
=> 8/100 x 9000 = Rs 720
Return % = income/investment x 100%
=> 720/13 , 500 x 100
=> 5(1/3)%
Que-15. Which is the better investment : 16% Rs.100 shares at 80 or 20% Rs.100 shares at 120?
Ans- 1st case
16%Rs.100 shares at 80 means;
Market value of 1 share= Rs80
Nominal value of 1 share= Rs100
Dividend= 16%
Income on Rs80= 16% of Rs100= Rs16
Income on Rs1 = 16/80 = Rs 0.20
2nd case
20% Rs.100 shares at 120 means;
Market value of 1 share= Rs120
Nominal value of 1 share= Rs100
Dividend= 20%
Income on Rs120= 20% of Rs100= Rs20
Income on Rs1 = 20/120 = Rs 0.17
Then 16% Rs.100 shares at 80 is better investment.
Que-16. A man has a choice to invest in hundred-rupee shares of two firms at Rs120 or at Rs132. 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 Rs26,400 with each firm, how much will be the difference between the annual returns from the two firms.
Ans- 1st firm
Market value of 1 share= Rs120
Nominal value of 1 share= Rs100
Dividend= 5%
Income on Rs120= 5% of Rs100= Rs5
Income on Rs1 = 5/120 = Rs 0.041
2nd firm
Market value of 1 share= Rs132
Nominal value of 1 share= Rs100
Dividend= 6%
Income on Rs132= 6% of Rs100= Rs6
Income on Rs1 = 6/132 = Rs 0.045
Then investment in second company is giving better return Ans.
(ii) Income on investment of Rs26,400 in first firm
=> 5/120 x 26400 = Rs 1100
Income on investment of Rs26,400 in second firm
=> 1200 – 1100 = Rs 100
Que-17. A man bought 360, ten-rupee shares of a company, paying 12% per annum. He sold the shares when their price rose to Rs21 per share and invested the proceeds in five-rupee shares paying 4.5 percent per annum at Rs3.50 per share. Find the annual change in his income.
Ans- 1st case
Nominal value of 1 share= Rs10
Nominal value of 360 shares= Rs10 x 360= Rs3,600
Market value of 1 share= Rs21
Market value of 360 shares= Rs21 x 360= Rs7,560
Dividend%= 12%
Dividend= 12% of Rs3,600
= 12/100 x 3600 = Rs 432
2nd case
Nominal value of 1 share= Rs5
Market value of 1 share= Rs3.50
∴ no of shares purchased = 7560/3.50 = Rs 2160
Nominal value of 2160 shares=Rs5 x 2160= Rs10,800
Dividend%= 4.5%
Dividend= 4.5% of Rs10,800
=> 4.5/100 x 10800 = Rs 486
Annual change in income= Rs486 – Rs432
= Rs54 increase Ans.
Que-18 A man sold 400 (Rs20) shares of a company, paying 5% at Rs18 and invested the proceeds in (Rs10) shares of another company paying 7% at Rs12. How many (Rs10) shares did he buy and what was the change in his income?
Ans- 1st case
Nominal value of 1 share= Rs20
Nominal value of 400 shares= Rs20 x 400= Rs8,000
Market value of 1 share= Rs18
Market value of 400 shares= Rs18 x 400= Rs7,200
Dividend%= 5%
Dividend= 5% of Rs8,000
=> 5/100 x 8000
=> Rs 400
2nd case
Nominal value of 1 share= Rs10
Market value of 1 share= Rs12
∴ no. of shares purchased = 7200/12 = 600 shares
Nominal value of 600 shares=Rs10 x 600= Rs6,000
Dividend%= 7%
and Dividend= 7% of Rs6,000
=> 7/100 x 6000
=> Rs 420
Annual change in income= Rs420 – Rs400
= Rs20 increase Ans.
Que-19. Two brothers A and B invest Rs16,000 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.
Ans- For A
Total investment= Rs16,000
Nominal value of 1 share= Rs100
Market value of 1 share= Rs80
∴ no. of shares purchased = 16000/80= 200 shares
Nominal value of 200 shares= Rs100 x 200= Rs20,000
Dividend%= 3%
so Dividend = 3% of Rs20,000
=> 3/100 x 20000
=> Rs 600
For B
Total investment= Rs16B ,000
Nominal value of 1 share= Rs10
Market value of 1 share= Rs10
∴ no. of shares purchased = 16000/10= 1600 shares
Nominal value of 1600shares= 10 x 1600= Rs16,000
Dividend received by B= Dividend received by A = Rs600
Dividend% = Dividend/Nominal value x 100%
=> 600/16000 x 100%
=> 3.75%
Que-20. A man invests Rs20,020 in buying shares of nominal value Rs26 at 10% premium. The dividend on the shares is 15% per annum. Calculate : (i)the number of shares he buys. (ii)the dividend he receives annually.(iii)the rate of interest he gets on his money.
Ans- Total investment= Rs20,020
Nominal value of 1 share= Rs26
Market value of 1 share= Rs26+ 10% of Rs26
= Rs26+ Rs2.60= Rs28.60
∴ no. of shares purchased = 20020/28.60 = 700 shares
Nominal value of 700 shares= Rs26 x 700= Rs18,200
Dividend%= 15%
and Dividend= 15% of Rs18,200
=> 15/100 x 18200
=> Rs 2730
∴ Income% = Income / Investment x 100%
=> 2730/20020 x 100%
=> 13(7/11)%
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