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- Question
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
- Correct Answer
- 8%
ExplanationBy investing Rs. 1552, income = Rs. 128.By investing Rs. 97, income = Rs. ❨ 128 x 97 ❩ = Rs. 8. 1552 ∴ Dividend = 8%
Stocks and Shares problems
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- 1. 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 - 2. 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 - 3. 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 - 4. 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 - 5. 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.
- 6. 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:
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.
- 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:
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 - 8. If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:
Options- A. Rs. 768
- B. Rs. 968
- C. Rs. 1960
- D. Rs. 2400 Discuss
Correct Answer: Rs. 768
Explanation:
P.W. = 100 x T.D. = 100 x 168 = 600. R x T 14 x 2 ∴ Sum = (P.W. + T.D.) = Rs. (600 + 168) = Rs. 768.
- 9. The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:
Options- A. 12%
- B. 14%
- C. 15%
- D.
16 2 % 3
Discuss
Correct Answer: 14%
Explanation:
S.I. on Rs. 750 = T.D. on Rs. 960.This means P.W. of Rs. 960 due 2 years hence is Rs. 750.
∴ T.D. = Rs. (960 - 750) = Rs. 210.
Thus, S.I. on R.s 750 for 2 years is Rs. 210.
∴ Rate = ❨ 100 x 210 ❩% = 14% 750 x 2 - 10. A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?
Options- A. Rs. 9025.20
- B. Rs. 9200
- C. Rs. 9600
- D. Rs. 9560 Discuss
Correct Answer: Rs. 9200
Explanation:
Required money = P.W. of Rs. 10028 due 9 months hence = Rs. [ 10028 x 100 ] 100 + ❨ 12 x 9 ❩ 12 = Rs. 9200.
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