## Selina Concise Mathematics Class 10 ICSE Solutions Chapter 3 Shares and Dividend Ex 3C

These Solutions are part of Selina Concise Mathematics Class 10 ICSE Solutions. Here we have given Selina Concise Mathematics Class 10 ICSE Solutions Chapter 3 Shares and Dividend Ex 3C.

**Other Exercises**

- Selina Concise Mathematics Class 10 ICSE Solutions Chapter 3 Shares and Dividend Ex 3A
- Selina Concise Mathematics Class 10 ICSE Solutions Chapter 3 Shares and Dividend Ex 3B
- Selina Concise Mathematics Class 10 ICSE Solutions Chapter 3 Shares and Dividend Ex 3C

**Question 1.**

**By investing 745,000 in 10% 7100 shares, Sharad gets 73,000 as divided. Find the market value of each share.**

**Solution:**

Total investment = ₹ 45000 at 10% of ₹ 100 shares

and amount of dividend = ₹ 3000

**Question 2.**

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

**Solution:**

Total investment = ₹ 1,31,040 in ₹ 100 share at discount of 9%

Market value of each share = ₹ 100 – ₹ 9 = ₹ 91

**Question 3.**

**A man invests a certain sum in buying 15% ₹ 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, ₹ 6,480.**

**(iii) sum invested.**

**Solution:**

Face value of each share = ₹ 100

Market value of each share = ₹ 100 + ₹ 20 = ₹ 120

Rate of dividend = 15%

(i) Income from one share = ₹ 15

(ii) and number of shares when amount of dividend

= \(\frac { 6480 }{ 15 }\) = 432

(iii) and sum invested = ₹ 432 x 120 = ₹ 51,840

**Question 4.**

**Gagan invested 80% of his savings in 10% ₹ 100 shares at 20% premium and the rest of his savings in 20% ₹ 50 shares at 20% discount. If his incomes from these shares is ₹ 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:**

(i) Total income = ₹ 5600

Let total investment = ₹ x

**Question 5.**

**Aishwarya bought 496, ₹ 100 shares at ₹ 132 each. Find:**

**(i) investment made by her.**

**(ii) income of Aishwarya from these shares, if the rate of dividend is 7.5%.**

**(iii) how much extra must Aishwarya invest in order to increase her income by ₹ 7,200?**

**Solution:**

Number of shares = 496

Market value of each share = ₹ 132

(i) Total investment = 496 x 132 = ₹ 65472

(ii) Rate of dividend = 7.5%

Income = 496 x 7.5 = ₹ 3720

(iii) New income (increase in income) = ₹ 7200

Market value of share = ₹ 132

Rate of income = 7.5%

Exit investment

**Question 6.**

**Gopal has some ₹ 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 ₹ 100 shares at ₹ 60 of company B paying 20% dividend. If his income, from the shares sold, increases by ₹ 18,000, find the number of shares sold by Gopal.**

**Solution:**

Let number of share purchased = x

Face value of these shares = ₹ 100 x x = 100x

dividend = 10%

**Question 7.**

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

**Solution:**

Let investment = ₹ x

Dividend at the rate of 6% at 12% premium

**Question 8.**

**Mr. Gupta has a choice to invest in ten rupee shares of two firms at ₹ 13 or at 716. 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 ₹ 30, Find how much in all does he invest ?**

**Solution:**

Face value of each share = ₹ 10

Market value of first firm’s share = ₹ 13

and market value of second firm’s share = ₹ 16

Dividend from first firm = 5%

and dividend from second firm = 6%

(i) Let investment in each firm = ₹ 13 x 16

Income from first firm’s shares

It is clear from the above that first firm’s shares are better.

(ii) Difference in income = ₹ 8.00 – ₹ 7.80 = ₹ 0.20

If difference is ₹ 0.20 then investment in each firm = ₹ 13 x 16

and if difference is ₹ 30, then investment

Total investment in both firms = ₹ 31200 x 2 = ₹ 62,400

**Question 9.**

**Ashok invested ₹ 26,400 in 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.**

**Solution:**

(i) Given,

Investment = ₹ 26400

Rate of dividend = 12%

Dividend earned = ₹ 2475

Face value of one share = ₹ 25

Total dividend earned = No. of shares x Rate of dividend x Face value of one share

**Question 10.**

**A man invested ₹ 45,000 in 15% ₹ 100 shares quoted at ₹ 125. When the market value of these shares rose to Rs. 140, he sold some shares, just enough to raise ₹ 8,400. calculate :**

**(i) the number of shares he still holds;**

**(ii) the dividend due to him on these remaining shares. [2004]**

**Solution:**

**Question 11.**

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

**(i) the number of shares bought by Mr. Tiwari.**

**(ii) Mr. Tiwari’s income from the investment.**

**(iii) the percentage return on his investment.**

**Solution:**

Mr. Tiwari’s investment = ₹ 29040

Face value of each share = ₹ 100

Market value of each share = ₹ 100 + ₹ 20 = ₹ 120

Rate of income = 15%

(i) Number of shares purchased

**Question 12.**

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

**(i) the market value of the shares.**

**(ii) the amount to be invested to obtain an annual dividend of ₹ 1,350.**

**Solution:**

Let market value of each share = x

Rate of return on investment = 10%

Face value of each share = ₹ 150

Dividend rate = 12%

(i) Now, rate of return x market value = Rate of dividend x Face value

⇒ 10 x x = 12 x 150

Amount of investment in ₹ 5 shares = ₹ 5 x ₹ 180 = ₹ 13500

**Question 13.**

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

**Solution:**

Total investment = ₹ 50,760

Let first part of investment = x

Then second part = ₹ 50,760 – x

Rate of dividend in first part = 8% ₹100 at discount = 8%

M.V. of each share = ₹ 100 – 8 = ₹ 92

Rate of dividend second part = 9% ₹ 100 at premium = 8%

M.V. of each share = 100 + 8 = ₹ 108

But annual income from both part is same

**Question 14.**

**Mr. Shameem invested 33\(\frac { 1 }{ 3 }\) % of his savings in 20% ₹ 50 shares quoted at ₹ 60 and the remainder of the savings in 10% ₹ 100 shares quoted at ₹ 110. If his total income from these investments is ₹ 9,200 ; find :**

**(i) his total savings**

**(ii) the number of ₹ 50 shares.**

**(iii) the number of ₹ 100 shares.**

**Solution:**

Let total investment = x

**Question 15.**

**Vivek invests ₹ 4500 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.**

**Solution:**

(i) By investing ₹ 15, share bought = ₹ 10

By investing ₹ 4500, share bought = \(\frac { 10 }{ 15 }\) x 4500 = ₹ 3000

Total face value of ₹ 10 shares = ₹ 3000, Income = 8%

= \(\frac { 8 }{ 100 }\) x 3000 = ₹ 240

By selling Rs. 10 share money received = ₹ 30

By selling Rs. 3000 shares money = \(\frac { 30 }{ 10 }\) x 3000 = ₹ 9000

(ii) By investing ₹ 125, no. of share of ₹ 100 bought = 1

By investing ₹ 9000, no. of share of ₹ 100 bought = \(\frac { 1 }{ 125 }\) x 9000 = 72

No. of ₹ 125 shares bought = 72

(iii) By investing ₹ 125 in Rs. 100 share, income = ₹ 12

By investing ₹ 9000 in ₹ 100 share, income = \(\frac { 12 }{ 125 }\) x 9000 = ₹ 864

Increase in income = ₹ 864 – ₹ 240 = ₹ 624

**Question 16.**

**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.**

**Solution:**

Investment = ₹ 52000,

N.V. of 1 share = ₹ 100

M.V. of 1 share for 1 st year = ₹ 100 – 20 = ₹ 80

No. of shares = \(\frac { 52000 }{ 80 }\) = 650

(i) Annual dividend = \(\frac { 8 }{ 100 }\) 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 – ₹ 65000 = ₹ 13000

Profit including dividend = ₹ 13000 + ₹ 5200 = ₹ 18200

**Question 17.**

**Salman buys 50 shares of face value ₹ 100 available at ₹ 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 ₹ 150, how many extra shares should he buy?**

**Solution:**

F.V. = ₹ 100

(i) M. V. = ₹ 132,

no. of shares = 50

Investment = no. of shares x M.V. = 50 x 132 = ₹ 6600

(ii) Income per share = 7.5% of N.V.

= \(\frac { 75 }{ 10 x 100 }\) x 100 = ₹ 7.5

Annual incomes = 7.5 x 50 = ₹ 375

(iii) New annual income = 375 + 150 = ₹ 525

No. of shares = \(\frac { 525 }{ 7.5 }\) = 70

No. of extra share = 70 – 50 = 20

**Question 18.**

**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. (2014)**

**Solution:**

Nominal value = ₹ 50

**Question 19.**

**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. (2015)**

**Solution:**

Investment by Rohit = ₹ 9600

Rate of dividend = 8% on 100 shares at ₹ 20 premium

Market value = ₹ 100 + ₹ 20 = ₹ 120

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