races and games aptitude questions

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11. 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%
12. 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.
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Market value of Rs. 100 stock = Rs. 120.
13. 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
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14.  

The cost price of a Rs. 100 stock at 4 discount, when brokerage is 1 % is:
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A. Rs. 95.75 B. Rs. 96
C. Rs. 96.25 D. Rs. 104.25

Answer: Option C

Explanation:

 

 

C.P. = Rs. 100 – 4 + 1 = Rs. 96.25
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15. 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.
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