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Home > Practice > Arithmetic Aptitude > Stocks and Shares > Miscellaneous

1. In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:

A. Rs. 3100

B. Rs. 6240

C. Rs. 6500

D. Rs. 9600

Discuss

Solution:

To obtain Rs. 10, investment = Rs. 96.
To obtain Rs. 650,

\begin{aligned} investment = R s . (\frac{96}{10} \times 650) \\ = R s . 6240 \end{aligned}

2. A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being $13 \frac{1}{2}$ . The rate of interest obtained is:

A. $12 \frac{1}{2}$ %

B. $13 \frac{1}{2}$ %

C. 15%

D. $16 \frac{2}{3}$ %

Discuss

Solution:

\begin{aligned} Investment \\ = R s . [20 \times (50 - 5)] \\ = R s . 900. \\ FaceValue \\ = R s . (50 \times 20) \\ = R s . 1000. \\ Dividend \\ = R s . (\frac{27}{2} \times \frac{1000}{100}) \\ = R s . 135. \\ Interest Obtained \\ = (\frac{135}{900} \times 100) % \\ = 15 % \end{aligned}

3. Which is better investment: 11% stock at 143 or $9 \frac{3}{4}$ % stock at 117?

A. 11% stock at 143

B. $9 \frac{3}{4}$ % stock at 117

C. Both are equally good

D. Cannot be compared, as the total amount of investment is not given.

Discuss

Solution:

\begin{aligned} Let investment in each case be \\ R s . (143 \times 117) \\ Income in 1^{st} case \\ = R s . (\frac{11}{143} \times 143 \times 117) \\ = R s . 1287 \\ Income in 2^{nd} case \\ = R s . (\frac{39}{4 \times 117} \times 143 \times 117) \\ = R s . 1394.25 \\ Clearly, 9 \frac{3}{4} % stock at 117 is better \end{aligned}

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

A. Rs. 12

B. Rs. 15

C. Rs. 18

D. Rs. 21

Discuss

Solution:

\begin{aligned} Dividend on R s . 20 \\ = R s . (\frac{9}{100} \times 20) \\ = R s . \frac{9}{5} \\ R s . 12 is an income on R s . 100. \\ ∴ R s . \frac{9}{5} is an income on \\ = R s . (\frac{100}{12} \times \frac{9}{5}) \\ = R s . 15 \end{aligned}

5. By investing in $16 \frac{2}{3}$ % stock at 64, one earns Rs. 1500. The investment made is:

A. Rs. 5640

B. Rs. 5760

C. Rs. 7500

D. Rs. 9600

Discuss

Solution:

To earn Rs.

\frac{50}{3},

investment = Rs. 64
To earn Rs. 1500,
investment =

\begin{aligned} R s . (64 \times \frac{3}{50} \times 1500) \\ = R s . 5760 \end{aligned}

6. A 6% stock yields 8%. The market value of the stock is:

A. Rs. 48

B. Rs. 75

C. Rs. 96

D. Rs. 133.33

Discuss

Solution:

For an income of Rs. 8, investment = Rs. 100.
For an income of Rs. 6,
investment =

\begin{aligned} R s . (\frac{100}{8} \times 6) \\ = R s . 75 \end{aligned}

∴ Market value of Rs. 100 stock = Rs. 75.

7. A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:

A. Rs. 207.40

B. Rs. 534.60

C. Rs. 648

D. Rs. 655.60

Discuss

Solution:

\begin{aligned} Number of shares \\ = \frac{4455}{8.25} \\ = 540 \\ Face value \\ = R s . (540 \times 10) \\ = R s . 5400 \\ Annual income \\ = R s . (\frac{12}{100} \times 5400) \\ = R s . 648 \end{aligned}

8. Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:

A. Rs. 4800

B. Rs. 5000

C. Rs. 5400

D. Rs. 5600

Discuss

Solution:

\begin{aligned} Let the ivestment in 9 % stock be R s . x \\ Then, investment in 10 % stock \\ = R s . (9800 - x) \\ \frac{9}{75} \times x = \frac{10}{80} \times (9800 - x) \\ \Rightarrow \frac{3 x}{25} = \frac{9800 - x}{8} \\ \Rightarrow 24 x = 9800 \times 25 - 25 x \\ \Rightarrow 49 x = 9800 \times 25 \\ \Rightarrow x = 5000 \end{aligned}

9. A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:

A. 3 : 4

B. 3 : 5

C. 4 : 5

D. 16 : 15

Discuss

Solution:

For an income of Rs. 1 in 9% stock at 96, investment =

R s . (\frac{96}{9}) = R s . \frac{32}{3}

For an income Rs. 1 in 12% stock at 120, investment =

R s . (\frac{120}{12}) = R s . 10

∴ Ratio of investments
=

\frac{32}{3}

: 10
= 32 : 30
= 16 : 15

10. By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:

A. Rs. 80

B. Rs. 96

C. Rs. 106

D. Rs. 108

Discuss

Solution:

To earn Rs. 135, investment = Rs. 1620
To earn Rs. 8,
investment =

Rs . (\frac{1620}{135} \times 8) = Rs . 96

∴ Market value of Rs. 100 stock = Rs. 96

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