Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal

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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:
Options
A. Rs. 4800
B. Rs. 5000
C. Rs. 5400
D. Rs. 5600

Correct Answer

Rs. 5000

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 problems

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1. A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:
Options
A. 7.5%
B. 8%
C. 9.7%
D. None of these

2. 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:
Options
A. Rs. 12
B. Rs. 15
C. Rs. 18
D. Rs. 21

3. A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13½. The rate of interest obtained is:
Options
A.

12 1 %

2
B.

13 1 %

2
C. 15%
D.

16 2 %

3

4. In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:
Options
A. Rs. 3100
B. Rs. 6240
C. Rs. 6500
D. Rs. 9600

5. The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being ¼%, is:
Options
A. Rs. 108.25
B. Rs. 112.20
C. Rs. 124.75
D. Rs. 125.25

6. 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:
Options
A. Rs. 207.40
B. Rs. 534.60
C. Rs. 648
D. Rs. 655.60

7. If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:
Options
A. Rs. 768
B. Rs. 968
C. Rs. 1960
D. Rs. 2400

8. The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:
Options
A. 12%
B. 14%
C. 15%
D.

16 2 %

3

9. A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?
Options
A. Rs. 9025.20
B. Rs. 9200
C. Rs. 9600
D. Rs. 9560

10. If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:
Options
A. Rs. 20
B. Rs. 21.81
C. Rs. 22
D. Rs. 18.33

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