Stocks and Shares - General Questions (1)

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 cost price of a Rs. 100 stock at 4 discount, when brokerage is 1-div-1by4 % is

A.	Rs. 95.75
B.	Rs. 96
C.	Rs. 96.25
D.	Rs. 104.25

Answer: Option C

Explanation:

C.P. = Rs. 1-sym-oparen-h1 100 - 4 +1 1-sym-cparen-h1 = Rs. 96.254

The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 1-div-1by4 %, 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 12% stock yielding 10% is quoted at:

A.	Rs. 83.33
B.	Rs. 110
C.	Rs. 112
D.	Rs. 120

Answer: Option D

Explanation:

To earn Rs. 10, money invested = Rs. 100.

To earn Rs. 12, money invested = Rs.		100	x 12		= Rs. 120.
		10

Market value of Rs. 100 stock = Rs. 120.

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%

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.

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:

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.

Stocks and Shares - General Questions (1)

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