Basic Formulae

Q. Mr. Ram Gopal invested Rs 8, 000 in $7\%$ Rs 100 shares at Rs 80. After a year, he sold these shares at Rs 75 each and invested the proceeds (including his dividend) in $18\%$, Rs 25 shares at Rs 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.
[4 MARKS]

Q. Vivek invests Rs 4500 in 8%, Rs 10 shares at Rs 15. He sells the shares when the price rises to Rs 30, and invests the proceeds in 12% Rs 100 shares at Rs 125. Calculate :
(i) The sale proceeds
(ii) The number of Rs 125 shares he buys
(iii) The change in his annual income form dividend
[4 MARKS]

Q.

A certain sum of money amounts to Rs 6600 after 1 year on CI and amounts to Rs 7986 after 3 years on CI. Find i) sum of money.

1. Rs 6000 = P

2. Rs 5000 = P

3. Rs 5000 = P

4. Rs 600 = P

Q. Ajay owns 560 shares of a company. The face value of each share is Rs 25 and the company declares a dividend of $9\%$. Calculate:
(i) the dividend Ajay would receive.
(ii) the rate of interest on his investment considering that Ajay bought these shares at Rs 30 per share in the market.
[4 MARKS]

Q.

Mr. Tiwari invested ₹ 29040 in $15\%$ ₹ 100 shares quoted at a premium of $20\%$. Calculate the number of shares he bought and his income from the investment.

1. 200, Rs 2200

2. 242, Rs 3630

3. 240, Rs 3000

4. 360, Rs 2400

Q.

A man invests Rs 11, 200 in a company paying 6 percent per annum when its Rs 100 shares can be bought for Rs 140. Find :

(i) his annual dividend.

(ii) his percentage return on his investment.

Q.

By investing Rs 45, 000 in 10% Rs 100 shares, Shared gets Rs 3, 000 as dividend. Find the market value of each share.

Q.

Question 58

A scooter travels 120 km in 3 hours and a train 120 km in 2 hours.
Find the ratio of their speeds.
[Hint: Speed = $\frac{\text{Distance travelled}}{\text{Time taken}}$

Q.

Manu 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 ₹8, 400. The number of shares he still holds and the dividend due to him on these remaining shares are respectively _____.

1. 300, Rs 8400

2. 200, Rs 1500

3. 200, Rs 2400

4. 300, Rs 4500

Q. What sum should Ashok invest in Rs 25 shares, selling at Rs 36 to obtain an income of Rs 720 if the dividend declared is $12\%$? Also find:
(i) the number of shares bought by Ashok,
(ii) the percentage return on his investment.
[4 MARKS]

Q. Calculate (a) Net National Product at market price, and (b) Gross Domestic Product at factor cost.

(i) Rent and interest	(Rs. in crores) $6,000$
(ii) Wages and salaries	$1,800$
(iii) Undistributed profit	$400$
(iv) Net indirect taxes	$100$
(v) Subsidies	$20$
(vi) Corporation tax	$120$
(vii) Net factor income to abroad	$70$
(viii) Dividends	$80$
(ix) Consumption of fixed capital	$50$
(x) Social security contribution by employers	$200$
(xi) Mixed income	$1,000$

Q.

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 %, what will be his annual income?

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

Q.

What percentage is 500 m of 5 km?

1. 1:100

2. 10:1

3. 100:1

4. 1:1000

Q.

A man buys 400, twenty-rupee shares at a discount of 20% and receives a return of 12% and receives a return of 12% on his money. Calculate :

(i) the amount invested by him.

(ii) the rate of dividend paid by the company.

Q.

Mr. Tiwari invested Rs 29040 in $15\%$ Rs 100 shares quoted at a premium of $20\%$. Calculate the number of shares he bought and his income from the investment.

1. 200, Rs 2200

2. 242, Rs 3630

3. 240, Rs 3000

4. 360, Rs 2400

Q.

A man buys 400, twenty-rupee shares at a premium of Rs 4 each and receives a dividend of 12%. Find :

(i) the amount invested by him.

(ii) his total income from the shares.

(iii) percentage return on his money.

Q.

A man buys ₹ 20 shares paying $9\%$ dividend. The man wants to have an interest of $12\%$ on his money. The market value of each share is:

1. Rs. 21

2. Rs. 15

3. Rs. 12

4. Rs. 18

Q.

How much money will be required to buy 400 shares id nominal value is Rs 12.50 per share at a premium of Rs 1?

Q. Salman invests a sum of money in Rs 50 shares, paying 15% dividend quoted at 20% premium. If his annual dividend is Rs 600, calculate:
(i) The number of shares he bought
(ii) His total investment
(iii) The rate of return on his investment.
[3 MARKS]

Q.

Shahrukh has to buy 100 shares of Reliance Industries Limited, whose market value is ₹11. What is the total amount of money invested by Shahrukh?

1. ₹100

2. ₹120

3. ₹90

4. ₹110

Q.

Swapnil invests ₹14950 in ₹100 shares of a company, paying $14\%$ dividend. If her annual income from shares be ₹1610, what will be the market value of each share?

1. ₹120

2. ₹130

3. ₹150

4. ₹145

Q.

A man invests Rs 20020 in buying shares of nominal value Rs 26 at $10\%$ premium. The dividend on the shares is $15\%$ per annum. Calculate the number of shares he buys.

1. 500

2. 7000

3. 600

4. 700

Q. Mr. Sharma buys 60 shares of nominal value of Rs 100 and he decides to sell them when they are at a premium of $60\%$. He invests the proceeds in shares of nominal value of Rs 50, quotes at $4\%$ discount, paying $18\%$ dividend annually. Calculate:
(i) the sale proceeds,
(ii) the number of shares he buys and
(iii) the annual dividend from these shares
[3 MARKS]

Q. A company with 10, 000 shares of nominal value of Rs 100 declares an annual dividend of $8\%$ to the shareholders.
(i) Calculate the amount of dividend paid by the company.
(ii) Ramesh had bought 90 shares of the company at Rs 150 per share. Calculate the dividend he receives and the percentage return on his investment.
[4 MARKS]

Q.

John invests ₹7, 200 in MojoRojo Inc, paying 10% per annum when its ₹20 shares can be bought for ₹16. His annual income, and percentage return on his investment are respectively ____.

1. ₹900, 12.5%

2. ₹902, 12.8%

3. ₹920, 12.1%

4. ₹925, 12.6%

Q.

A man earns $₹15,400$ per month.He spends $90\%$ of his salary and saves the remaining part.How much does he save per month $?$

Q.

If the dividend received from $9\%$ ₹ 40 shares is ₹ 3240, find the number of shares purchased.

1. 600

2. 900

3. 800

4. 450

Q. A man invested Rs 45, 000 in $45\%$ 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 8, 400. Calculate:
(i) the number of shares he still holds.
(ii) the dividend due to him on these remaining shares.
[4 MARKS]

Q.

A man buys a ₹ 10 share in a company at a premium of ₹ 2 which pays 9 % dividend. Find the rate of interest on his investment ?

1. 6%

2. 9%

3. 7.5%

4. 15%

Q.

Shubendhu 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 Shubendhu will get.

(ii) The rate of interest on his investment if Shubendhu had paid ₹30 for each share.

1. i ) ₹1360, ii) 7.5$\%$

2. i) ₹1260, ii) 7.5$\%$

3. i) ₹1360, ii) 8.5$\%$

4. i) ₹1260, ii) 8.5$\%$