Nootan solutions for माठेमटिक्स [इंग्रजी] इयत्ता १० आयसीएसई chapter 3 - Shares and dividends [Latest edition]

How much money will be required to buy 200, Rs. 25 shares at a premium of Rs. 2?

How much money will be required to buy 125, Rs. 30 shares at a discount of Rs. 3?

A company declared an annual dividend of 10%. Find the annual dividend of a shareholder owning 1500 shares of the company of par value ₹ 10 each.

A medicine company declared a semi-annual dividend of `7 1/2%` Find the annual dividend of a person, owning 1250 shares of the company having a par value of ₹ 10 each.

A company declares 6% half-yearly dividend. If a person has 175 shares at par value of ₹ 25 each, what will he receive as yearly dividend?

Find the annual dividend on 500 shares of a stock with par value of ₹ 10 each, if the quarterly dividend is 16%.

A company issued 50000 shares of par value ₹ 10 each. If the total dividend declared by the company is ₹ 62,500, find the rate of dividend paid by the company.

A company has a capital of ₹ 1000000 made up of ₹ 10 shares. A dividend of ₹ 50000 was declared at the end of the year to be distributed among the shareholders. Find the dividend received by Gobind holding 300 shares.

Find the cost of purchasing 150 shares of a company, each of par value ₹ 10, quoted at 16 each in the market, from the original shareholder. Also, find the gain to the new shareholder if he sells each share at a premium of ₹ 10.

Find the cost of 60 shares of ₹ 50 each quoted at ₹ 54. Find also the gain to the original shareholder.

What is gained by buying 200 shares (par value 100) at 8% discounted and selling them at 6% premium?

Razia buys 200 shares, each of par value ₹ 10 of a company which pays annual dividend of 15% at such a price that she gets 12% on her investment. Find the market value of a share.

Find the annual dividend received by Anil for his 200 preferred shares and 1,000 common shares, both of par value of ₹ 100 each, if the dividend declared on a preferred share is 10% per annum and an annual dividend of `12 1/2%` on the common shares.

Raksha had 50 preferred shares and 400 common shares of par value ₹ 100 each. If the dividend declared on preferred shares is 10% per annum and a semi-annual dividend of 7.5% is on common shares, find the annual dividend received by Raksha.

Find the income on 12% stock of ₹ 60000 purchased at ₹ 110.

What annual income is derived from ₹ 2750 of `4 1/2%` stock at ₹ 121?

What annual income is derived by investing ₹ 3760 in 7% stock at ₹ 94?

Find the income by investing ₹ 83200 in 6% stock at 104.

Shakila purchased 12000 shares of a company of par value ₹ 10 each, paying an annual dividend of 15% at such a price that she gets 10% on her investment. Find the market value of a share.

Mohan holds 480 shares of a company and receives an annual dividend of ₹ 960. If the dividend he receives be 8% per annum, find the face value of share.

A man holds 56 shares of a bank and receives a dividend of ₹ 31.50 per quarter. If the dividend he receives be 9% per annum, find the face value of a share.

A person sells ₹ 2400 of 6% stock at 80 and invests the proceeds in 8% stock at 96. Find the change in his dividend income.

A man invests ₹ 1426 in 5% stock at 115. He sells this stock at 125 and invests the proceeds in 3% stock at 93. Find the change in his income.

A man holding ₹ 45000 of 3% stock sells out when the stock is standing at 95 and invests the proceeds in 5% stock at 114. What is the change in his income?

A man invested ₹ 260000 in 5% stock at 104. He sold the stock when the price rose to ₹ 125 and invested the sale proceeds in 6% stock. By doing this his income increased by ₹ 2500. At what price did he purchase the second stock?

A man invested ₹ 9000 in 3% stock at 90. He sold the stock when the price rose to 95 and invested the sale proceeds in a 4% stock, thereby increasing his income by ₹ 80. At what price did he buy the later stock?

A man invested ₹ 2000 in 3% stock at 80 and ₹ 3000 in 7% stock at 120. If the total sum invested in `5 1/4%` stock yields the same income, find the market price of one share of the last stock.

A man wishes to invest ₹ 2,490. He invests ₹ 900 in `3 1/2%` stock at 75, 850 in 3% stock at 68 and the remainder in 6% stock. If the total yield from his investments is 5%, at what price did he buy the 6% stock?

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 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 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.

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 person buys 200, ₹ 25 shares at a premium of ₹ 5 each and receives a dividend of 10%. The amount of investment is ______.

By purchasing 100 shares of a company for ₹ 150 each, a man gets 10% per annum on his investment. The rate percent the company paying is ______.

Shankar invests ₹ 7800 in ₹ 100 shares of a company paying 12% dividend. If his annual income from these shares is ₹ 720, the market value of each share is ______.

A person invests ₹ 15400 in a company when its ₹ 100 shares are at a premium of ₹ 40. The number of shares bought by him are ______.

David invests ₹ 9600 in a company paying 8% dividend p.a., when a share of face value of 100 stands at ₹ 120. His annual income is ______.

Salim bought 800 shares of face value ₹ 50 at ₹ 60 per share. The company declared a dividend of 12%. The percentage return on his investment is ______.

A person invests ₹ 9900 in ₹ 100 shares at 10% discount. The number of shares he buys are ______.

The money required to buy 120 shares of ₹ 40 each quoted at 45 is ______.

A person has 560 shares of a company. The face value of each share is ₹ 25 and company declares a dividend of 9%. The dividend that person will get is ______.

Shalini has 500, ₹ 60 shares of a company paying 20% dividend. If she pays 10% income tax, then her net income is ______.

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

Sachin and Dhoni invest ₹ 36000 each in buying shares of two companies. Sachin buys 15% ₹ 40 share at a discount of 20%, while Dhoni buys ₹ 75 share at a premium of 20%. If both receive equal dividends at the end of the year, find the rate per cent of the dividend declared by Dhoni’s company.

A person invested 20%, 30% and 25% of his saving in buying shares at par values of three different companies A, B and C which declare dividends of 10%, 12% and 15%, respectively. If his total income on account of dividends be ₹ 4,675, find his saving and the amount which he invested in buying shares of each company.

A man buys Rs. 40 shares of a company which pays 10% dividend. He buys the shares at such a price that his profit is 16% on his investment. At what price did he buy each share?

Divide ₹ 101520 into two parts such that if one part is invested in 8% ₹ 100 shares at 8% discount and the other in 9% ₹ 50 shares at 8% premium, the annual incomes are equal.

A man has some shares of Rs. 100 par value paying 6% dividend. He sells half of these at a discount of 10% and invests the proceeds in 7% Rs. 50 shares at a premium of Rs. 10. This transaction decreases his income from dividends by Rs. 120. Calculate:

1. the number of shares before the transaction.
2. the number of shares he sold.
3. his initial annual income from shares.

By selling at Rs. 92, some 2.5% Rs. 100 shares and investing the proceeds in 5% Rs. 100 shares at Rs. 115, a person increased his annual income by Rs. 90. Find:

1. the number of shares sold.
2. the number of shares purchased.
3. the new income.
4. the rate percent which he earns on his investment.

At which price should a 9% ₹ 100 share be quoted when the money is worth 6%?

Rohit Kulkami invests Rs 10000 in 10% Rs 100 shares of a company. If his annual dividend is Rs 800, find:

1. The market value of each share.
2. The rate percent which he earns on his investment.

Find the percentage interest on capital invested in 18% shares when a Rs 10 share costs Rs 12.

If a man received ₹ 1080 as dividend from 9% ₹ 20 shares, find the number of shares purchased by him.