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- Question
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
- Correct Answer
- Rs. 4000
ExplanationLet 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.
Stocks and Shares problems
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- 1. 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.
- 2. 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.
- 3. 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:
Options- A. 3 : 4
- B. 3 : 5
- C. 4 : 5
- D. 16 : 15 Discuss
Correct Answer: 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 - 4.
The value of ❨ 1 + 1 + 1 ❩ is: log3 60 log4 60 log5 60
Options- A. 0
- B. 1
- C. 5
- D. 60 Discuss
Correct Answer: 1
Explanation:
Given expression = log60 3 + log60 4 + log60 5 = log60 (3 x 4 x 5) = log60 60 = 1. - 5. If log 27 = 1.431, then the value of log 9 is:
Options- A. 0.934
- B. 0.945
- C. 0.954
- D. 0.958 Discuss
Correct Answer: 0.954
Explanation:
log 27 = 1.431⟹ log (33 ) = 1.431
⟹ 3 log 3 = 1.431
⟹ log 3 = 0.477
∴ log 9 = log(32 ) = 2 log 3 = (2 x 0.477) = 0.954.
- 6. 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 - 7. 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 - 8.
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 Discuss
Correct Answer: Rs. 96.25
Explanation:
C.P. = Rs. ❨ 100 - 4 + 1 ❩ = Rs. 96.25 4 - 9. 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.
- 10. 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
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