Aptitude

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:

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Question:
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

Answer: Option D

Explanation:

For an income of Re. 1 in 9% stock at 96, investment = Rs. 96 = Rs. 32
9 3
For an income Re. 1 in 12% stock at 120, investment = Rs. 120 = Rs. 10.
12
Ratio of investments = 32 : 10 = 32 : 30 = 16 : 15.
3

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:

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Question:
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

Answer: Option B

Explanation:

Let the investment in 9% stock be Rs. x.

Then, investment in 10% stock = Rs. (9800 – x).

9 x x = 10 x (9800 – x)
75 80
3x = 9800 – x
25 8

24x = 9800 x 25 – 25x

49x = 9800 x 25

x = 5000.

Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?

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Question:
Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?

[A].

Rs. 4000

[B].

Rs. 4500

[C].

Rs. 5500

[D].

Rs. 6000

Answer: Option A

Explanation:

Let investment in 12% stock be Rs. x.

Then, investment in 15% stock = Rs. (12000 – x).

12 x x + 15 x (12000 – x) = 1360.
120 125
x + 3 (12000 – x) = 1360.
10 25

5x + 72000 – 6x = 1360 x 50

x = 4000.

The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being %, is:

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Question:
The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being %, is:

[A].

Rs. 108.25

[B].

Rs. 112.20

[C].

Rs. 124.75

[D].

Rs. 125.25

Answer: Option C

Explanation:

For an income of Rs. 756, investment = Rs. 9000.

For an income of Rs. 21 , investment = Rs. 9000 x 21 = Rs. 125.
2 756 2

For a Rs. 100 stock, investment = Rs. 125.

Market value of Rs. 100 stock = Rs. 125 – 1 = Rs. 124.75
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:

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Question:
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

Answer: Option B

Explanation:

Dividend on Rs. 20 = Rs. 9 x 20 = Rs. 9 .
100 5

Rs. 12 is an income on Rs. 100.

Rs. 9 is an income on Rs. 100 x 9 = Rs. 15.
5 12 5

A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13. The rate of interest obtained is:

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Question:
A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13. The rate of interest obtained is:

[A].

12 1 %
2

[B].

13 1 %
2

[C].

15%

[D].

16 2 %
3

Answer: Option C

Explanation:

Investment = Rs. [20 x (50 – 5)] = Rs. 900.

Face value = Rs. (50 x 20) = Rs. 1000.

Dividend = Rs. 27 x 1000 = Rs. 135.
2 100
Interest obtained = 135 x 100 % = 15%
900