Aptitude

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

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.

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.

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

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

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

Question:
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:

[A].

7.5%

[B].

8%

[C].

9.7%

[D].

None of these

Answer: Option B

Explanation:

By investing Rs. 1552, income = Rs. 128.

By investing Rs. 97, income = Rs.		128	x 97		= Rs. 8.
		1552

Dividend = 8%

Question:
By investing in 16% stock at 64, one earns Rs. 1500. The investment made is:

[A].

Rs. 5640

[B].

Rs. 5760

[C].

Rs. 7500

[D].

Rs. 9600

Answer: Option B

Explanation:

To earn Rs.	50	, investment = Rs. 64.
	3

To earn Rs. 1500, investment = Rs.		64 x	3	x 1500		= Rs. 5760.
			50

Question:
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

Answer: Option B

Explanation:

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

To obtain Rs. 650, investment = Rs.		96	x 650		= Rs. 6240.
		10

Question:
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

Answer: Option B

Explanation:

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

To earn Rs. 8, investment = Rs.		1620	x 8		= Rs. 96.
		135

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