Self Evaluation & Revision on Shares and Dividends ICSE Class 10 Maths OP Malhotra 2026-27. We Provide Step by Step Solutions of self evaluation on shares and dividends. Visit official Website CISCE for detail information about ICSE Board Class-10 Mathematics.
Self Evaluation & Revision on Shares and Dividends ICSE Class 10 Maths OP Malhotra 2026-27
| Board | ICSE |
| Publications | S Chand |
| Subject | Maths |
| Class | 10th |
| Chapter-3 | Shares and Dividends |
| Writer | OP Malhotra |
| Self Evaluation | Extra Practice Questions |
| Edition | 2026-2027 |
Self Evaluation on Shares and Dividends
Self Evaluation & Revision on Shares and Dividends ICSE Class 10 Maths OP Malhotra 2026-27
Que-1: A dividend of 9% was declared on ₹ 100 shares selling at a certain price. If the rate of return is 7(1/2)%, calculate :
(i) the market value of the share
(ii) the amount to be invested to obtain an annual dividend of ₹ 630.
Sol: Market price of each share = x
Face value of each share = ₹ 100
Rate of dividend = 9%
Rate of return on investment = 7(1/2)% = 15/2%
(i) ∴ x×15/(100×2) = 9 ⇒ x = (9×100×2)/15 = ₹ 120
∴ Market value of each share = ₹ 120
(ii) Amount of dividend = ₹ 630
∴ Investment = (630×100)/(15/2) = (630×100×2)/15
= ₹ 42 x 2 x 100 = ₹ 8400
Que-2: A man invests ₹ 8800 in buying shares of face value of rupees hundred each at a premium of 10% in a company. If he earns ₹ 1200 at the end of the year as dividend, find
(i) the number of shares he has in the company ?
(ii) the dividend percentage per share.
Sol: Investment = ₹ 8800
Face value of each share = ₹ 1100
Market value at a premium of 10%
= ₹ 100 + 10 = ₹ 110
Total dividend he received = ₹ 1200
(i ) Number of shares = Investment/MV
= 8800/110 = 80
(ii) Face value of each share = ₹ 100 x 80 = ₹ 8000
∴ Rate of dividend per share = 1200/8000 x 100
= 15%
Que-3: A man wants to buy 62 shares available at ₹ 132 (par value of ₹ 100).
(i) How much should he invest ₹
(ii) If the dividend is 7.5%, what will be his annual income?
(iii) If he wants to increase income by ₹ 150, how many extra shares should he buy?
Sol: Number of shares = 62
Market value of each share = ₹ 132
Face value = ₹ 100
(i) His investment = ₹ 132 x 62 = ₹ 8184
(ii) Rate of dividend = 7.5% = 15/2 % p.a.
Annual income = ₹ 62 x 100 x 15/(2×100)
= ₹ 465
(iii) Extra income he wants = ₹ 150
Then annual income = ₹ 465 + 150 = ₹ 615
∴ Number of shares = (615×100×2)/(15×100) = 82
∴ Extra share he has to buy = 82 – 62 = 20
Que-4: A man invests ₹ 20,020 in buying shares of nominal value ₹ 26 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.
Sol: Investment = ₹ 20020
Nominal value of each share = ₹ 26
Market value at 10% premium
= ₹ 26×(100+10)/100
= ₹ 26×110/100 = ₹ 2860/100 = ₹ 28.60
Rate of dividend = 15%
(i) Number of share he bought = 20020/28.60
= 20020×100/2860 = 70
(ii) Total dividend per year = 700 x 26 x 15%
= 700×26×15/100 = ₹ 2730
(iii) Rate of interest on investment
= 2730×100/20020 = 13.636 %
= 13.46%
Que-5: A man invested ₹ 45,000 in 15% ₹ 100 shares quoted at ₹ 125. When the market value of these shares rose to ₹ 140, he sold some shares, just enough to raise ₹ 8400. Calculate :
(i) the number of shares he still holds;
(ii) the dividend due to him on these remaining shares.
Sol: Total investment = ₹ 45000
Face value of each share = ₹ 100
Market value = ₹ 125
Rate of dividend = 15%
∴ Number of shares = 4500/125
He sells some shares at the rate of ₹ 140
(i) Raise his income ₹ 8400
∴ Number of shares he sells = 8400/140 = 60
Remaining shares = 360 – 60 = 300
Dividend on remaining shares = 300 x 100 x 15%
= ₹300×100×15/100 = ₹ 4500
Que-6: Mr. Tewari invested ₹ 29,040 in 15%, ₹ 100 shares quoted at a premium of 20%. Calculate :
(i) The number of shares bought by Mr. Tewari.
(ii) Mr. Tewari’s income from the investment.
(iii) The percentage return on his investment.
Sol: Investment made by Tewari = ₹ 29040
Face value of each share = ₹ 100
Market value at a premium of 20%
= ₹ 100 + 20 = ₹ 120
Rate of dividend = 15%
(i) Number of shares bought = ₹ 29040/120 = 242
(ii) Income from investment = ₹ 242 x 100 x 15%
= ₹ 242 x 100 x 15/100 = ₹ 3630
(iii) Percentage income on investment
= ₹ 3630×100/29040 = 12.5%
Que-7: Mr. Ram Gopal invested ₹ 8000 in 7% ₹ 100 shares at ₹ 80. After a year he sold these shares at ₹ 75 each and invested the proceeds (including his dividend) in 18%, ₹ 25 shares at ₹ 41. Find :
(i) his dividend for the first year.
(ii) his annual income in the second year.
(iii) the percentage increase in his return on his original investment.
Sol: Investment made by Ram Gopal = ₹ 8000
Face value of each share = ₹ 100
Market value = ₹ 80
Rate of dividend = 7%
Number of shares = ₹ 8000/80 = 100
(i) Dividend for the first year = ₹ 100 x 100 x 7%
= 100×100×7/100 = ₹ 700
(ii) M.V. of second year = ₹ 75
∴ Sale proceed = ₹ 100 x 75 = ₹ 7500
Total investment including dividend = ₹ 7500 + 700 = ₹ 8200
Rate of dividend in second year = 18%
M.V. = ₹ 41
Face value = ₹ 25
∴ Number of shares bought = 8200/41 = 200
Nominal value of 200 share = ₹ 25 x 200 = ₹ 5000
∴ Dividend = ₹ 5000 x 18%
= ₹ 5000 x 18/100 = ₹ 900
(iii) Increase in income = ₹ 900 – ₹ 700 = ₹ 200
∴ Increase percent = 200×100/8000
= 5/2 % = 2.5%
Que-8: Ajay owns 560 shares of a company. The face value of each share is ₹ 25. The company declares a dividend of 9%. Calculate :
(i) The dividend that Ajay will get.
(ii) The rate of interest on his investment, if Ajay had paid ₹ 30 for each share.
Sol: Ajay has shares of a company = 560
Face value of each share = ₹ 25
Rate of dividend = 9%
(i) Face value of 560 shares = ₹ 25 x 560
= 114000
∴ Total dividend he received
= ₹ 14000 x 9%
= ₹ 14000 x 9/100 = ₹ 1260
(ii) M.V. of each share = ₹ 30
∴ Total investment = ₹ 30 x 560 = ₹ 16800
Rate of interest on his investment = 1260×100/16800 = 7.5 %
Que-9: A company with 4000 shares of nominal value of ₹ 110 each declares an annual dividend of 15%. Calculate:
(i) The total amount of dividend paid by the company.
(ii) The annual income of Shah Rukh who holds 88 shares in the company.
(iii) If he received only 10% on his investment, find the price Shah Rukh paid for each share.
Sol: Number of shares = 4000
Nominal value of each share = ₹ 110
Rate of dividend = 15%
(i) ∴ Total amount of dividend
= ₹ 4000 x 110 x 15%
= ₹ 4000×110×15/100
= ₹ 66000
(ii) Face of 88 shares = ₹ 110 x 88 = ₹ 9680
∴ Annual income of Shah Rukh
= ₹ 9680×15/100 = ₹ 1452
(iii) Interest on investment made by Shah Rukh = 10%
∴ Price (value) of each share paid by Shah
Que-10: Amit Kumar invests ₹ 36,000 in buying ₹ 100 shares at ₹ 10 premium. The dividend is 15% per annum. Find
(i) the number of shares he buys.
(ii) his yearly dividend.
(iii) the percentage return on his investment.
Give your answer correct to the nearest whole number.
Sol: Investment = ₹ 36000
Face value = ₹ 100
Premium = ₹ 20, dividend = 15%
(i) No. of shares = 36000/120 = 300
(ii) Dividend = 15% of (100 x 300)
= 15/100 x 30000 = ₹ 4500
(iii) Per cent of return on investment
= 45000/36000 x 100 = 450/36 = 12.5% = 13%
Que-11: Vivek invests ₹ 4,500 in 8% ₹ 10 shares at ₹ 15. He sells the shares when the price rises to ₹ 30, and invests the proceeds in 12% ₹ 100 shares at ₹ 125. Calculate.
(i) the sale proceeds,
(ii) the number of ₹ 125 shares he buys,
(iii) the change in his annual income from dividend.
Sol: (i) If price of share bought is ₹ 15, then face value of share = Rs. 10
If price of share bought is ₹ 4500, then face value of share bought
= 10/15 x 4500 = ₹ 3000
Total face value of ₹ 10 shares = ₹ 3000 Income = 8%
= 8/100 x 3000 = Rs. 240
By selling ₹ 10 share money received = ₹ 30
By selling Rs. 3000 shares money
= 30/10 x 3000 = ₹ 9000
(ii) By investing ₹ 125, no. of share of ₹ 100 bought = 1
By investing ₹ 9000, no. of share of ₹ 100 bought = 1/125 x 9000 = 72
∴ No. of ₹ 125 shares bought = 72
(iii) By investing ₹ 125 in ₹ 100 share, income = ₹ 12
By investing Rs. 9000 in ₹ 100 share, income 12
= 12/125 x 9000 = ₹ 864
Increase in income = ₹ 864 – ₹ 240 = ₹ 624
Que-12: Mr. Parekh invested ₹ 52,000 on ₹ 100 shares at a discount of ₹ 20 paying 8% dividend. At the end of one year he sells the shares at a premium of ₹ 20. Find :
(i) The annual dividend.
(ii) The profit earned including his dividend.
Sol: Investment = ₹ 52000
Face value of 1 share = ₹ 100
Market value of 1 share = ₹ 100 – 20 = ₹ 80
No. of shares = 52000/80 = 650
(i) Annual dividend = 8/100 x 650 x 100 = ₹ 5200
(ii) S.P. of 1 share = ₹ 100 + 20 = ₹ 120
S.P. of 650 shares = ₹ 120 x 650 = ₹ 78000
C.P. of 650 shares = ₹ 100 x 650 = ₹ 65000
Profit = S.P. – C.P.
= ₹ 78000 – ₹ 52000 = ₹ 26000
Profit including dividend = ₹ 26000 + ₹ 5200 = ₹ 31200
Que-13: A man invests ₹ 9600 on ₹ 100 shares at ₹ 80. If the company pays him 18% dividend, find :
(i) the number of shares he buys.
(ii) his total dividend.
(iii) his percentage return on the shares.
Sol: Amount of investment = ₹ 9600
Price of one share = ₹ 80
(i) ∴ No. of shares bought = ₹ 9600/80 = 120
(ii) Face value of 120 shares = ₹ 120 x 100 = ₹ 12000
Rate of dividend = 18%
Dividend = ₹ 12,000×18/100 = ₹ 2160
(iii) By investing ₹ 9600, returned obtained = ₹ 2160
So, percentage return = 2.160×100/9600 = 22.5%
Que-14: Salman buys 50 shares of face value ₹ 100 available at ₹ 7132.
(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 ₹ 150, how many extra shares should he buy?
Sol: F.V. = ₹ 100
(i) M.V. = ₹ 132, no. of shares = 50
Investment = no. of shares x MV.
= 50 x 132 = ₹ 6600
(ii) Income per share = 7.5% of F.V.
= (75/10×100) x 100 = ₹ 7.5
∴ Annual income = 7.5 x 50 = ₹ 375
(iii) New annual income = 375 + 150 = ₹ 525
∴ No. of shares = 525/7.5 = 70
∴ No. of extra share = 70 – 50 = 20
Que-15: Salman invests a sum of money in ₹ 50 shares, paying 15% dividend quoted at 20% premium. If his annual dividend is ₹ 600, calculate:
(i) the number of shares he bought.
(ii) his total investment.
(iii) the rate of return on his investment.
Sol: Nominal value = ₹ 50
Dividend on 1 share = 15/100 x ₹ 50 = ₹ 7.50
Total Dividend to Salman = ₹ 600
(i) No. of shares Salman bought = 600/7.50
= 600×100/750 = 80
(ii) Premium on 1 share = 50 x 20/100 = ₹ 10
Market value of 1 share = 50 + 10 = ₹ 60
Total investment for 80 shares = 80 x 60 = ₹ 4800
(iii) Rate of return = Total dividend/Total investment ×100
= 600/4800 x 100 = 12.5%
Que-16: Rohit invested ₹ 9,600 on ₹ 100 shares at ₹ 20 premium paying 8% dividend. Rohit sold the shares when the price rose to ₹ 160. He invested the proceeds (excluding dividend) in 10% ₹ 50 shares at ₹ 40. Find the:
(i) original number of shares.
(ii) sale proceeds.
(iii) new number of shares.
(iv) change in the two dividends.
Sol: (i) 100 shares at ₹ 20 premium means
Nominal value of the share is ₹ 100
and its marked value = 100 + 20 = ₹ 120
Money required to buy 1 share = ₹ 120
Number of shares
= Money invested/Market value of 1 share
= 9600/120 = 80 shares
(ii) Dividend on 1 share = 8% of N.V.
= 8% of 100 = 8
Total dividend on 80 shares = 80 x 8 = ₹ 640
Each share is sold at ₹ 160
∴ The sale proceeds = 80 x ₹ 160
= ₹ 12800
(iii) New investment = ₹ 12800
Divident=10%
Net value = 50
Market value = ₹ 40
∴ Number of shares = Investment/Market value
= 12800/40
= 340 shares
(iv) Now, dividend on 1 share = 10% of N.V.
= 10% of 50 = 5
∴ Dividend on 340 shares = 1600
Change in two dividends = ₹ 1600 – ₹ 640 = ₹ 960
Que-17: Ashok invested ₹ 26,400 on 12%, ₹ 25 shares of a company. If he receives a dividend of ₹ 2,475. Find the :
(i) number of shares he bought.
(ii) market value of each share.
Sol: Investment = ₹ 26400
Rate of divident = 12%
Divident = ₹ 2475
Face value of one share = ₹ 25
Total dividend = Number of shares x Rate of dividend x Face value of one share
2475 = Number of shares x 12/100 x 25
Number of shares = 2475/3 = 825
Market value of one share Investment
= Investment/Number of shares bought
Market value of one share = 26400/825 = ₹ 32
Ashok bought 825 shares and market value of each share is ₹ 32.
— : End of Self Evaluation & Revision on Shares and Dividends ICSE Class 10 Maths OP Malhotra 2026-27 :–
Return to :– OP Malhotra S Chand Solutions for ICSE Class-10 Maths
Thanks
Please Share with Your Friends
