Stocks and Shares problems
- 1. Rs. 2780 are invested party in 4% stock at 75 and 5% stock at 80 to have equal amount of incomes. The investment in 5% stock is?
Options- A. Rs. 1500
- B. Rs. 1280
- C. Rs. 1434.84
- D. Rs. 1640 Discuss
Correct Answer: Rs. 1280
Explanation:
Let the investment in 4% stock be Rs. N.
Then, investment in 5% stock = Rs. (2780 - N)
Income from 4% stock = Rs. (4/75) x N
Income from 5% stock = Rs. [(5/80 x (2780 - N)]
? 4N / 75 = (2780 - N) / 16
or N = 1500
So, investment in 5% stock = Rs. (2780 - 1500) = Rs. 1280
- 2. A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 6% his annual income is?
Options- A. Rs. 267.30
- B. Rs. 327.80
- C. Rs. 324
- D. Rs. 103.70 Discuss
Correct Answer: Rs. 324
Explanation:
Number of shares = 4455 / 8.25 = 540
Face value = Rs. (540 x 10) = Rs. 5400
Income = Rs. (6/100) x 5400 = Rs. 324
- 3. A man bought 20 shares of Rs. 50 at 5 discount the rate of dividend being 4 3/ 4% The rate of interest obtained is?
Options- A. 43/4%
- B. 31/4%
- C. 5.28%
- D. 4.95% Discuss
Correct Answer: 5.28%
Explanation:
Face value = Rs. (50 x 20) = Rs. 1000
Dividend = Rs. (1000 x 19) / (4 x 100) = Rs. 95/2
Investment = Rs. (45 x 20) = Rs. 900
Rate = Rs. (95 x 100) / (2 x 900) = 5.28%
- 4. A man buys Rs. 20 shares paying 9% dividend. The man want to have an interest of 12% on his money. The market value of each share must be?
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 / (100 x 20) = Rs. 9/5
Rs. 12 is an income on Rs. 100
? Rs. 9/5 is an income on Rs. (100/12) x (9/5) = Rs. 15
- 5. A man invested Rs. 388 in a stock at 97 to obtain and income of Rs. 22. The dividend from the stock is?
Options- A. 12%
- B. 3%
- C. 51/2%
- D. 22.68% Discuss
Correct Answer: 51/2%
Explanation:
When investment is Rs. 388, income = Rs. 22
When investment is Rs. 97, income = Rs. (22 / 388) x 97 = Rs. 5.50
? Dividend on Rs. 100 stock = 51/2%
- 6. Which is better investment, 4% stock at per with an income tax at the rate of 5 paise per rupee or 4 1/ 2% stock at 110 free from income tax?
Options- A. 4% at par with income tax
- B. 91/2 at 110
- C. 5%
- D. 25% Discuss
Correct Answer: 91/2 at 110
Explanation:
Let investment in each case be Rs. (100 x 110)
Gross income from 4% stock = Rs. (4/100) x (100 x 110) = Rs. 440
Net income from the stock = Rs. (440 - 22) = Rs. 418
Net income from 41/2% stock = Rs. (9 x 100 x 110) / (2 x 110) = Rs. 450
? Better stock is 41/2% at 110.
- 7. A man invest some money party in 3% stock at 96 and party in 4% stock at 120. To get equal dividend from both, he must invest the money in the ratio?
Options- A. 16 : 15
- B. 3 : 4
- C. 4 : 5
- D. 3 : 5 Discuss
Correct Answer: 16 : 15
Explanation:
For an income of Re. 1 in 3% stock, investment = Rs. (96 / 3) = Rs. 32
For an income of Re. 1. in 4% stock investment = Rs. (120 / 4) = Rs. 30
? Ratio of investment = 32 : 30 = 16 : 15
- 8. Which is the better stock, 5% at 143 or 3 1/ 2% at 93?
Options- A. 5% at 143
- B. 31/2% at 93
- C. Both are equally good
- D. None of these Discuss
Correct Answer: 31/2% at 93
Explanation:
Let investment in each case be Rs. (143 x 93)
Income from 5% stock = Rs. (5 / 143) x 143 x 93 = Rs. 465
Income from 31/2% stock = Rs. (3.5 / 93) x 143 x 93 = Rs. 500.50
? 31/2% stock at 93 is better.
- 9. I want to purchase a 6% stock which must yield 5% on my capital. At what price must I buy the stock?
Options- A. Rs. 111
- B. Rs. 101
- C. Rs. 83.33
- D. Rs. 120 Discuss
Correct Answer: Rs. 120
Explanation:
For an income of Rs. 5, investment = Rs. 100
For an income of Rs. 6, investment = Rs. (100/5) x 6 = Rs. 120
- 10. A invested some money in 4% stock at 96. Now, B wants to invest in an equally goods 5% stock. B must purchase a stock worth of?
Options- A. Rs. 120
- B. Rs. 124
- C. Rs. 76.80
- D. Rs. 80 Discuss
Correct Answer: Rs. 120
Explanation:
For an income of Rs. 4, investment = Rs. 96
For an income of Rs. 5, investment = Rs. (96/4) x 5 = Rs. 120
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