## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 3 Shares and Dividends Ex 3

These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths. Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 3 Shares and Dividends Ex 3

**More Exercises**

- ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 3 Shares and Dividends Ex 3
- ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 3 Shares and Dividends MCQS
- ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 3 Shares and Dividends Chapter Test

**Question 1.**

**Find the dividend received on 60 shares of Rs, 20 each if 9% dividend is declared.**

**Solution:**

Value of one share = Rs. 20

Value of 60 shares = Rs. 20 x 60

= Rs. 1200

**Question 2.**

**A company declares 8 percent dividend to the share holders. If a man receives Rs. 2840 as his dividend, find the nominal value of his shares.**

**Solution:**

Rate of dividend = 8%

Amount of dividend = Rs. 2840

**Question 3.**

**A man buys 200 ten-rupee shares at Rs 12.50 each and receives a dividend of 8%. Find the amount invested by him and the dividend received by him in cash.**

**Solution:**

Face value of 200 shares = Rs. 10 x 200

= Rs. 2000

(i) Amount invested for the purchase of 200 shares at the rate of Rs. 12.50 each

= Rs. 12.50 x 200

= Rs. 2500

**Question 4.**

**Find the market price of 5% share when a person gets a dividend of Rs 65 by investing Rs. 1430.**

**Solution:**

Amount of dividend = Rs. 65

Rate of dividend = 5%

**Question 5.**

**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% p.a., what will be his annual income ?**

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

**Solution:**

Face Value = Rs 100

(i) Market Value = Rs 132

No. of shares = 50

Investment = no. of shares x Market value

= 50 x 132 = Rs 6600

**Question 6.**

**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 percentage return does she get on her investment ? Give your answer to the nearest integer.**

**Solution:**

Total number of shares = 1800

Nominal value of each share = Rs. 100

Rate of dividend = 15%

**Question 7.**

**What sum should a person invest in Rs 25 shares, selling at Rs 36, to obtain an income of Rs 720, if the dividend declared is 12%? Also find the percentage return on his income.**

**(i) The number of shares bought by him.**

**(ii) The percentage return on his income.**

**Solution:**

Nominal value of each share = Rs. 25

Market value of each share = Rs. 36

**Question 8.**

**Ashok invests Rs 26400 on 12% Rs 25 shares of a company. If he receives a dividend of Rs 2475, find:**

**(i) the number of shares he bought.**

**(ii) the market value of each share. (2016)**

**Solution:**

Investment = Rs 26400

Face value of each share = Rs 25

Rate of dividend = 12%

and total dividend = Rs 2475

We know,

**Question 9.**

**Amit Kumar invests Rs 36,000 in buying Rs 100 shares at Rs 20 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.**

**Solution:**

Investment = Rs 36000

Face value = Rs 100

Premium = Rs 20, dividend = 15%

**Question 10.**

**Mr. Tiwari invested Rs 29,040 in 15% Rs 100 shares 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:**

(i) M.V. of one share = \(\left[ \frac { 20 }{ 100 } \times 100+100 \right] \)

= Rs 120

**Question 11.**

**A man buys shares at the par value of Rs 10 yielding 8% dividend at the end of a year. Find the number of shares bought if he receives a dividend of Rs 300.**

**Solution:**

Face value of each share = Rs 10

Rate of dividend = 8% p.a.

Total dividend = Rs 300

**Question 12.**

**A man invests Rs 8800 on buying shares of face value of rupees hundred each at a premium of 10%. If he earns Rs 1200 at the end of year as dividend, find :**

**(i) the number of shares he has in the company.**

**(ii) the dividend percentage per share.**

**Solution:**

Investment = Rs 8800

Face value of each share = Rs 100

and market value of each share

= Rs 100 + Rs 10 = Rs 110

Total income = Rs 1200

Total face value

= Rs \(\\ \frac { 8800\times 100 }{ 110 } \)

= Rs 8000

**Question 13.**

**A man invested Rs. 45000 in 15% Rs. 100 shares quoted at Rs. 125. When the market value of these shares rose to Rs. 140, he sold some shares, just enough to raise Rs. 8400. Calculate :**

**(i) the number of shares he still holds.(2004)**

**(ii) the dividend due to him on these shares.**

**Solution:**

Investment on shares = Rs. 45000

Face value of each share = Rs. 125

**Question 14.**

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

**Solution:**

No. of shares = 1000

Face value of each are = Rs. 10

Rate of dividend = 15%,

Rate of tax deducted = 22%

Total face value of 1000 shares = Rs. 10 x 1000 = Rs. 10000

Total dividend = Rs 10000 x \(\\ \frac { 15 }{ 100 } \)

= Rs 1500

Tax deducted at the rate of 22 %

**Question 15.**

**Ajay owns 560 shares of a company. The face value of each share is Rs. 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 has paid Rs. 30 for each share. (2007)**

**Solution:**

No. of shares = 560

Face value of each share = Rs. 25

Rate of dividend = 9% p.a.

Total face value of 560 shares = Rs. 25 x 560

= Rs. 14000

**Question 16.**

**A company with 10000 shares of nominal value of Rs. 100 declares an annual dividend of 8% to the share holders.**

**(i) Calculate the total amount of dividend paid by the company.**

**(ii) Ramesh bought 90 shares of the company at Rs. 150 per share.**

**Calculate the dividend he received and the percentage return on his investment. (1994)**

**Solution:**

(i) Number of shares = 10000

Nominal value of each share = Rs. 100

Rate of annual dividend = 8%

Total face value of 10000 shares

= Rs. 100 x 10000

= Rs. 1000000

and amount dividend = Rs \(\\ \frac { 1000000\times 8 }{ 100 } \)

= Rs 80000

(ii) Number of shares = 90

Face value of each share = Rs. 150

Total face value of 90 shades

**Question 17.**

**A company with 4000 shares of nominal value of Rs. 110 declares 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. (2008)**

**Solution:**

Number of shares = 4000

Nominal (face) value of each share = Rs. 110

Total face value of 4000 shares = Rs. 110 x 4000

= Rs, 440000

Rate of annual dividend = 15%

**Question 18.**

**By investing Rs. 7500 in a company paying 10 percent dividend, an income of Rs. 500 is received. What price is paid for each Rs. 100 share**

**Solution:**

Investment = Rs. 7500

Rate of dividend = 10%,

Total income = Rs. 500.

Face value of each share = Rs. 100

Total face value = \(\\ \frac { 100\times 500 }{ 10 } \) = Rs. 5000

If face value is Rs. 5000, then investment = Rs. 7500

and if face value is Rs. 100 then market value of

**Question 19.**

**A man invests Rs. 8000 in a company paying 8% dividend when a share of face value of Rs. 100 is selling at Rs. 60 premium,**

**(i) What is his annual income,**

**(ii) What percent does he get on his money ?**

**Solution:**

Investment = Rs. 8000

Face value of each share = Rs. 100

Market value = Rs. 100 + Rs. 60

= Rs. 160

Rate of dividend = 8% p.a.

**Question 20.**

**A man buys 400 ten-rupee shares at a premium of Rs. 2.50 on each share. If the rate of dividend is 8%, Find,**

**(i) his investment**

**(ii) dividend received**

**(iii) yield.**

**Solution:**

No. of shares = 400

Face value of each share = Rs. 10

Market value of each share

= Rs. 10 + Rs. 2.50

= Rs. 12.50

Rate of dividend = 8%

**Question 21.**

**A man invests Rs. 10400 in 6% shares at Rs. 104 and Rs. 11440 in 10.4% shares at Rs. 143. How much income would he get in all ?**

**Solution:**

In first case; Total investment = Rs. 10400

Rate of dividend = 6%

Market value of each share = Rs. 104

Total dividend from both cases = Rs. 600 + Rs. 832

= Rs. 1432 Ans.

**Question 22.**

**Two companies have shares of 7% at Rs. 116 and 9% at Rs. 145 respectively. In which of the shares would the investment be more profitable ?**

**Solution:**

Let the investment in each case = Rs. 116 x 145

Dividend in first case

**Question 23.**

**Which is better investment : 6% Rs. 100 shares at Rs. 120 or 8% Rs. 10 shares at Rs. 15**

**Solution:**

Let the investment in each case = Rs. 120 In the fist case,

Dividend on Rs. 120 = Rs. 6

In second case, Dividend on Rs. 10

**Question 24.**

**A man invests Rs -10080 in 6% hundred- rupee shares at Rs. 112. Find his annual income. When the shares fall to Rs. 96 he sells out the shares and invests the proceeds in 10% ten-rupee shares at Rs. 8. Find the change in his annual income.**

**Solution:**

Investment = Rs. 10080

Face value of each share = Rs. 100

Market value of each share = Rs. 112

Rate of dividend = 6%

Total income for the year

**Question 25.**

**A man bought 360 ten-rupee shares paying 12% per annum. He sold them when the price rose to Rs. 21 and invested the proceeds in five-rupee shares paying \(4 \frac { 1 }{ 2 } \) % per annum at Rs. 3.5 per share. Find the annual change in his income.**

**Solution:**

No. of shares bought = 360

Face value of each share = Rs. 10

Rate of dividend = 12%

Total face value of 360 shares

= Rs. 10 x 360

= Rs. 3600

**Question 26.**

**A person invests Rs. 4368 and buys certain hundred-rupee shares at 91. He sells out shares worth Rs. 2400 when they have t risen to 95 and the remainder when they have fallen to 85. Find the gain or loss on the total transaction,**

**Solution:**

Investment = Rs. 4368

Market value of each share = Rs. 91

Face value of each share = Rs. 100

**Question 27.**

**By purchasing Rs. 50 gas shares for Rs. 80 each, a man gets 4% profit on his investment. What rate percent is company paying ? What is his dividend if he buys 200 shares ?**

**Solution:**

Market value of each share = Rs 80

Face value of each share = Rs. 50

Interest on investment = 4%

Dividend = Rs 10000 x \(\\ \frac { 6.4 }{ 100 } \)

= Rs 640

**Question 28.**

**Rs. 100 shares of a company are sold at a discount of Rs. 20. If the return on the investment is 15%. Find the rate of dividend declared**

**Solution:**

Market value of each shares = 100 – 20

= Rs.80

Interest on investment of Rs. 80

= 15% x 80

= \(\\ \frac { 15 }{ 100 } \) x 80

= Rs 12

Dividend on face value of Rs. 100 = Rs. 12

Rate of dividend = 12%. Ans.

**Question 29.**

**A company declared a dividend of 14%. Find tire market value of Rs. 50 shares if the return on the investment was 10%.**

**Solution:**

Rate of dividend = 14%

Dividend on Rs. 50 = \(\\ \frac { 14\times 50 }{ 100 } \) = Rs 7

Now Rs. 10 is interest on the investment of

= Rs. 100

Rs. 7 will be the interest on

= \(\\ \frac { 100\times 7 }{ 10 } \) = Rs. 70

Hence Market value of Rs. 50 shares = Rs. 70Ans.

**Question 30.**

**At what price should a 6.25% Rs. 100 shares be quoted when the money is worth 5%?**

**Solution:**

Interest on Rs. 100 worth = Rs. 5

If interest is Rs. 5, then market value = Rs. 100

and if interest is Rs. 6.25, then market value

Market value of each share = Rs. 125 Ans.

**Question 31.**

**At what price should a 6.25% Rs. 50 share be quoted when the money is worth 10%?**

**Solution:**

Interest on Rs. 100

worth = Rs. 10

If the interest is Rs. 10, then market value = Rs. 100

and if interest is Rs. 6.25, then market

**Question 32.**

**A company with 10000 shares of Rs. 100 each, declares an annual dividend of 5%.**

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

**(ii) What would be the annual income of a man, who has 72 shares, in the company ?**

**(iii) If he received only 4% on his investment, find the price he paid for each share. (1998)**

**Solution:**

No. of shares = 10000

Face value of each share = Rs. 100

Rate of dividend = 5%

(i) Total face value of 10000 shares

= Rs. 100 x 10000

= Rs. 1000000

**Question 33.**

**A man sold some Rs. 100 shares paying 10% dividend at a discount of 25% and invested the proceeds in Rs. 100 shares paying 16% dividend quoted at Rs. 80 and thus increased his income by Rs. 2000. Find the number of shares sold by him.**

**Solution:**

Face value of each share = Rs. 100

Market value of each share

= Rs. 100 – Rs.25

= Rs. 75

Rate of dividend = 10%

Let no. of shares = x

Selling price = x × 75 =Rs. 75x

Face value of x share = 100 x

**Question 34.**

**By selling at Rs. 77, some \(2 \frac { 1 }{ 4 } \) % shares of face value Rs. 100, and investing the proceeds in 6% shares of face value Rs. 100, selling at 110, a person increased his income by Rs, 117 per annum. How many shares did he sell ?**

**Solution:**

Let the number of shares = x

On selling at Rs.77, the amt received x × 77 = Rs. 77 x

**Question 35.**

**A man invests Rs. 6750, partly in shares of 6% at Rs. 140 and partly in shares of 5% at Rs. 125. If his total income is Rs. 280, how much has he invested in each ?**

**Solution:**

Let the investment in first case = x

Then investment in second case = (6750 – x)

In first case, the dividend

**Question 36.**

**Divide Rs. 20304 into two parts such that if one part is invested in 9% Rs. 50 shares at 8% premium and the other part is invested in 8% Rs. 25 shares at 8% discount, then the annual incomes from both the investment are equal**

**Solution:**

Total amount = Rs 20304

Let amount invested in 9% Rs 50 at 8%

premium = x

Then amount invested in 8% Rs 25 at 8%

Discount = 20304 – x

Income from both investments are equal Now income from first type of shares

Hope given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 3 Shares and Dividends Ex 3 are helpful to complete your math homework.

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