Discussion
Home ‣ Aptitude ‣ True Discount Comments
- Question
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 - Correct Answer
- 14%
ExplanationS.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
True Discount problems
Search Results
- 1. 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.
- 2. 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 - 3. 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.
- 4. 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. 1552, income = Rs. 128.By investing Rs. 97, income = Rs. ❨ 128 x 97 ❩ = Rs. 8. 1552 ∴ Dividend = 8%
- 5. 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 - 6. 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. - 7. If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:
Options- A. Rs. 20
- B. Rs. 21.81
- C. Rs. 22
- D. Rs. 18.33 Discuss
Correct Answer: Rs. 18.33
Explanation:
S.I. on Rs. (110 - 10) for a certain time = Rs. 10. S.I. on Rs. 100 for double the time = Rs. 20.T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.
T.D. on Rs. 110 = Rs. ❨ 20 x 110 ❩ = Rs. 18.33 120 - 8. A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:
Options- A. gains Rs. 55
- B. gains Rs. 50
- C. loses Rs. 30
- D. gains Rs. 30 Discuss
Correct Answer: gains Rs. 50
Explanation:
S.P. = P.W. of Rs. 2200 due 1 year hence = Rs. [ 2200 x 100 ] 100 + (10 x 1) = Rs. 2000. ∴ Gain = Rs. (2000 - 1950) = Rs. 50.
- 9. A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
Options- A. 0%
- B. 5%
- C. 7.5%
- D. 10% Discuss
Correct Answer: 0%
Explanation:
C.P. = Rs. 3000.S.P. = Rs. [ 3600 x 100 ] = Rs. 3000. 100 + (10 x 2) Gain = 0%.
- 10. The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:
Options- A. 6 months
- B. 8 months
- C. 9 months
- D. 10 months Discuss
Correct Answer: 10 months
Explanation:
P.W. = Rs. (1760 -160) = Rs. 1600.∴ S.I. on Rs. 1600 at 12% is Rs. 160.
∴ Time = ❨ 100 x 160 ❩ = 5 years = ❨ 5 x 12 ❩months = 10 months. 1600 x 12 6 6
Comments
There are no comments.
More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.