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- Question
The cost price of a Rs. 100 stock at 4 discount, when brokerage is 1 % is: 4
Options- A. Rs. 95.75
- B. Rs. 96
- C. Rs. 96.25
- D. Rs. 104.25
- Correct Answer
- Rs. 96.25
ExplanationC.P. = Rs. ❨ 100 - 4 + 1 ❩ = Rs. 96.25 4
Stocks and Shares problems
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- 1. Which is better investment: 11% stock at 143 or 9¾% stock at 117?
Options- A. 11% stock at 143
- B.
9 3 % stock at 117 4 - C. Both are equally good
- D. Cannot be compared, as the total amount of investment is not given. Discuss
Correct Answer:9 3 % stock at 117 4
Explanation:
Let investment in each case be Rs. (143 x 117).Income in 1st case = Rs. ❨ 11 x 143 x 117 ❩ = Rs. 1287. 143 Income in 2nd case = Rs. ❨ 39 x 143 x 117 ❩ = Rs. 1394.25 4 x 117 Clearly, 9 3 % stock at 117 is better. 4 - 2. By investing in 16⅔% stock at 64, one earns Rs. 1500. The investment made is:
Options- A. Rs. 5640
- B. Rs. 5760
- C. Rs. 7500
- D. Rs. 9600 Discuss
Correct Answer: Rs. 5760
Explanation:
To earn Rs. 50 , investment = Rs. 64. 3 To earn Rs. 1500, investment = Rs. ❨ 64 x 3 x 1500 ❩ = Rs. 5760. 50 - 3. 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?
Options- A. Rs. 4000
- B. Rs. 4500
- C. Rs. 5500
- D. Rs. 6000 Discuss
Correct Answer: Rs. 4000
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.
- 4. A 6% stock yields 8%. The market value of the stock is:
Options- A. Rs. 48
- B. Rs. 75
- C. Rs. 96
- D. Rs. 133.33 Discuss
Correct Answer: Rs. 75
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.
- 5. By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:
Options- A. Rs. 80
- B. Rs. 96
- C. Rs. 106
- D. Rs. 108 Discuss
Correct Answer: Rs. 96
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.
- 6. A 12% stock yielding 10% is quoted at:
Options- A. Rs. 83.33
- B. Rs. 110
- C. Rs. 112
- D. Rs. 120 Discuss
Correct Answer: Rs. 120
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.
- 7. 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 Discuss
Correct Answer: Rs. 124.75
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 - 8. 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 Discuss
Correct Answer: Rs. 6240
Explanation:
To obtain Rs. 10, investment = Rs. 96.To obtain Rs. 650, investment = Rs. ❨ 96 x 650 ❩ = Rs. 6240. 10 - 9. 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:
Investment = Rs. [20 x (50 - 5)] = Rs. 900.Face value = Rs. (50 x 20) = Rs. 1000.
Dividend = Rs. ❨ 27 x 1000 ❩ = Rs. 135. 2 100 Interest obtained = ❨ 135 x 100 ❩% = 15% 900 - 10. 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
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