# races and games aptitude questions

6. A 6% stock yields 8%. The market value of the stock is:
 A. Rs. 48 B. Rs. 75 C. Rs. 96 D. Rs. 133.33

Explanation:

For an income of Rs. 8, investment = Rs. 100.

 For an income of Rs. 6, investment = Rs. 100 x 6 = Rs. 75. 8 Market value of Rs. 100 stock = Rs. 75.

7. 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:
 A. Rs. 207.40 B. Rs. 534.60 C. Rs. 648 D. Rs. 655.60

Explanation:

 Number of shares = 4455 = 540. 8.25

Face value = Rs. (540 x 10) = Rs. 5400.

 Annual income = Rs. 12 x 5400 = Rs. 648. 100

8. 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

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.

9. 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

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

10. 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

 To earn Rs. 8, investment = Rs. 1620 x 8 = Rs. 96. 135 Market value of Rs. 100 stock = Rs. 96.