Stocks and Shares problems
- 1. 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
Discuss
Correct Answer: 15%
Explanation:
Face value = Rs. (50 x 20) = Rs. 1000.
| Dividend = Rs. | ❨ | 27 | x | 1000 | ❩ | = Rs. 135. |
| 2 | 100 |
| Interest obtained = | ❨ | 135 | x 100 | ❩% | = 15% |
| 900 |
- 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 Discuss
Correct Answer: Rs. 15
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 |
- 3. 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 Discuss
Correct Answer: 8%
Explanation:
| By investing Rs. 97, income = Rs. | ❨ | 128 | x 97 | ❩ | = Rs. 8. |
| 1552 |
∴ Dividend = 8%
- 4. 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 Discuss
Correct Answer: Rs. 5000
Explanation:
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.
- 5. 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 Discuss
Correct Answer: Rs. 648
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 |
- 6. A man invests in a 4 1/ 2% stock at 96. The interest obtained by him is?
Options- A. 4%
- B. 4.5%
- C. 4.69%
- D. 1/2% Discuss
Correct Answer: 4.69%
Explanation:
By investing Rs 96, income derived = Rs. 9/2
By investing Rs. 100, income derived = Rs. (9 x 100) / (2 x 96) = Rs.4.69
Interest obtained =4.69%
- 7. By investing Rs. 1100 in a 5 1/ 2% stock one earns Rs. 77. The stock is then quoted at?
Options- A. Rs. 93
- B. Rs. 107
- C. Rs. 784/7
- D. Rs. 973/4 Discuss
Correct Answer: Rs. 784/7
Explanation:
To earn Rs. 77, investment = Rs. 1100
To earn Rs. 11/2, investment = (1100 / 77) x (11/2) = Rs. 784/7
- 8. To produce an annual income of Rs. 500 in a 4% stock at 90, the amount of stock needed is?
Options- A. Rs. 11250
- B. Rs. 12500
- C. Rs. 18000
- D. Rs. 20000 Discuss
Correct Answer: Rs. 12500
Explanation:
For an income of Rs. 4, stock needed = Rs. 100
For an income of Rs. 500, stock needed = Rs. (100 / 4) x 500 = Rs. 12500
- 9. A 4% stock yield 5%. The market value of the stock is?
Options- A. Rs. 125
- B. Rs. 80
- C. Rs. 99
- D. Rs. 109 Discuss
Correct Answer: Rs. 80
Explanation:
For an income of Rs. 5, investment = Rs. 100
For an income of Rs. 4, investment = Rs. (100/5) x 4 = Rs. 80
- 10. By investing a 6% stock at 96 an income of Rs. 100 is obtained by making and investment of?
Options- A. Rs. 1600
- B. Rs. 1504
- C. Rs. 1666.66
- D. Rs. 5760 Discuss
Correct Answer: Rs. 1600
Explanation:
For an income of Rs. 6, investment = Rs. 96.
For an income of Rs. 100, investment = Rs. (96 / 6) x 100 = Rs. 1600
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