R.S. Aggarwal solutions for Mathematics [English] Class 10 ICSE chapter 3 - Shares and Dividends [Latest edition]

Find the market value of 350, ₹ 100 shares at a premium of ₹ 8.

Find the market value of 240, ₹ 50 shares at a discount of ₹ 5.

Find the annual income from 450, ₹ 25 shares, paying 12% dividend.

Mr. Gupta invested ₹ 33000 in buying ₹ 100 shares of a company at 10% premium. The dividend declared by the company is 12%.

Find:

1. the number of shares purchased by him
2. his annual dividend.

A man invests Rs. 22,500 in Rs. 50 shares available at 10% discount. If the dividend paid by the company is 12%, calculate:

1. The number of shares purchased.
2. The annual dividend received.
3. The rate of return he gets on his investment. Give your answer correct to the nearest whole number.

Find the market price of 12% ₹ 25 shares of a company which pays a dividend of ₹ 1875 on an investment of ₹ 20000.

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:

1. his dividend for the first year; 
2. his annual income in the second year; 
3. the percentage increase in his return on his original investment.

Amit Kumar invests Rs. 36,000 in buying Rs. 100 shares at Rs. 20 premium. The dividend is 15% per annum.

Find:

1. the number of shares he buys;
2. his yearly dividend;
3. the percentage return on his investment.

Give your answer correct to the nearest whole number.

Ajay owns 560 shares of a company. The face value of each share is Rs. 25. The company declares a dividend of 9%.

Calculate:

1. The dividend that Ajay will get.
2. The rate of interest on his investment, if Ajay had paid Rs. 30 for each share.

Mohan Lal invested ₹ 29040 in 15%, ₹ 100 shares of a company quoted at a premium of 20%.

Calculate:

1. the number of shares bought by Mohan Lal;
2. his annual income from shares; 
3. the percentage return on his investment.

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 year as dividend, find:

1. the number of shares he has in the company.
2. the dividend percent per share.

A man invests a sum of money in ₹ 100 shares, paying 10% dividend and quoted at 20% premium. If his annual dividend from these shares is ₹ 560, calculate:

1. his total investment, 
2. the rate of return on his investment.

A man invests a sum of money in ₹ 25 shares, paying 12% dividend and quoted at ₹ 36. If his annual income from these shares is ₹ 720, calculate:

1. his total investment, 
2. the number of shares bought by him; 
3. the percentage return on his investment.

A man buys 250, ten-rupee shares each at ₹ 12.50. If the rate of dividend is 7%, find the:

1. dividend he receives annually.
2. percentage return on his investment.

Divide ₹ 35400 into two parts such that if one part is invested in 9%, ₹ 100 shares at 4% discount and the other in 12%, ₹ 50 shares at 8% premium, the annual incomes are equal.

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.

Which is better investment:

(10%, ₹ 100 shares at ₹ 120) or (8%, ₹ 100 shares at ₹ 72)?

Which is better investment:

(12%, ₹ 20 shares at ₹ 16) or (15%, ₹ 20 shares at ₹ 24)?

Ashish bought 4500, ₹ 10 shares paying 12% per annum. He sold them when the price rose to ₹ 23 and invested the proceeds in ₹ 25 shares paying 10% per annum, at ₹ 18. Find the change in his annual income.

Amit owns 1500, ₹ 25 shares of a company which declares a dividend of 14%. He sells the shares at ₹ 40 each and invests the proceeds in 8%, ₹ 100 shares at ₹ 80. What is the change in his annual dividend income?

Vimal sold a certain number of ₹ 20 shares, paying 8% dividend, at ₹ 18 and invested the proceeds in ₹ 10 shares, paying 12% dividend, at 50% premium. If his annual dividend income decreases by ₹ 120, find the number of shares sold by Vimal.

₹ 100 shares of a company giving 10% dividend, are available at ₹ 150. Mr. Saha invests ₹ 18,000 to buy these shares. He sells 80% of his shares after one year. Find:

1. the number of shares he purchased.
2. the number of shares he sold
3. his annual income from the remaining 20% shares he still holds.

Deepak invested in ₹ 25 shares of a company paying 12% dividend. If he received 10% per annum on his investment, at what price did he buy each share?

At what price should a 10%, ₹ 25 share be quoted when the money is worth 8%?

How much should a man invest in ₹ 25 shares, selling at ₹ 36 to obtain an annual income of ₹ 1500, if the dividend declared is 12%?

[Hint: Suppose he buys x shares. Then, investment = ₹ 36x.

∴ `(25x xx 12/100 xx 1 = 1500)` ⇒ x = 500. Investment = ₹ (36 × 500)]

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.

By investing ₹ 11440 in a company paying 10% dividend, an annual income of ₹ 520 is received. What is the market value of each ₹ 50 share?

A man invests ₹ 4500 in shares of a company which is paying 7.5% dividend. If ₹ 100 shares are available at a discount of 10%, find:

1. number of shares he purchases.
2. his annual income.

Sachin invests Rs. 8500 in 10%, Rs 100 shares at Rs. 170. He sells the shares when the price of each share rises by Rs. 30. He invests the proceeds in 12% Rs. 100 shares at Rs. 125. Find:

1. The sale proceeds.
2. The number of Rs. 125 shares he buys.
3. The change in his annual income.

A company with 500 shares of nominal value ₹ 120 declares an annual dividend of 15%.

Calculate:

1. the total amount of dividend paid by the company.
2. annual income of Mr. Sharma who holds 80 shares of the company.
3. If the return per cent of Mr. Sharma from his shares is 10%, find the market value of each share.

A man bought ₹200 shares of a company at 25% premium. If he received a return of 5% on his investment. Find the:

1. market value 
2. dividend percent declared 
3. number of shares purchased, if annual dividend is ₹1000.

Ms. Kaur invested ₹ 8,000 in buying ₹ 100 shares of a company paying a 6% dividend at ₹ 80. After a year, she sold these shares at ₹ 75 each and invested the proceeds, including the dividend received during the first year, in buying ₹ 20 shares, paying a 15% dividend at ₹ 27 each. Find the:

1. dividend received by her during the first year. 
2. number of shares purchased by her using the total proceeds.

The annual profit distributed among share holders is called:

The value of a share printed on the share certificate is called its:

The shares of different companies can be bought or sold in the market through stock-exchange. The price at which the share is sold or purchased is called its:

A share is said to be at ______, if its market value is the same as its face value.

A share is said to be at premium, if market value is ______ than its face value.

The face value of a share:

Dividend is always paid on the ______ of a share.

The market value of a share:

Number of shares held by a person = ______.

Dividend = ______.

Rate of return on Investment = ______.

Investment / Sale proceeds = ______.

Annual Income = ______.

A man invested in a company paying 12% dividend on its share. If the percentage return on his investment is 10%, then the shares are ______.

If a share of ₹ 125 is selling at ₹ 96, then it is said to be selling at ₹ 12:

If Kabir invests ₹ 10320 on ₹ 100 shares at a discount of ₹ 14, then the number shares he buys is ______.

Shahrukh has some shares of ₹ 50 of a company paying 15% dividend. If his annual income is ₹ 3000, then the number of shares he possesses is ______.

If Kiran invests ₹ 19200 on ₹ 50 shares at a premium of 20%, then the number of shares she buys is ______.

The sum invested to purchase 15 shares of a company of nominal value ₹ 75 available at a discount of 20% is ______.

Varun possesses 600 shares of ₹ 25 of a company. If the company announces a divided of 8%, then his annual income is ______.

A man invests ₹ 24000 on ₹ 60 shares at a discount of 20%. If the dividend declared by the company is 10%, then his annual income is ______.

Amit invested a certain sum of money in ₹ 100 shares, paying a 7.5% dividend. The rate of return on his investment is 10%. The money invested by Amit to purchase 10 shares is ______.

₹ 25 shares of a company are selling at ₹ 20. If the company is paying a dividend of 12%, then the rate of return is ______.

₹ 40 shares of a company are selling at 25% premium. If Mr. Wasim wants to buy 280 shares of the company, then the investment required by him is ______.

Percentage return on ₹100, 12% share of a company bought at 4% discount is ______.

Akshay buys 350 shares of ₹50 par value of a company. The dividend declared by the company is 14%. If his return percent from the shares is 10%, find the market value of each share.

Mr. Das invests in ₹ 100, 12% shares of Company А available at ₹ 60 each. Mr. Singh invests in ₹ 50, 16% shares of Company B available at ₹ 40 each. Use this information to state which of the following statements is true?

Aman has 500, ₹ 100 shares of a company quoted at ₹ 120, paying a 10% dividend. When the share price rises to ₹ 200 each, he sells all his shares. He invests half of the sale proceeds in ₹ 10, 12% shares at ₹ 25 and the remaining sale proceeds in ₹ 400, 9% shares at ₹ 500.

Find his:

1. sales proceeds.
2. investment in ₹ 10, 12% shares at ₹ 25.
3. original income.
4. change in income.