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- Question
The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
Options- A. Rs. 1325
- B. Rs. 1300
- C. Rs. 1350
- D. Rs. 1500
- Correct Answer
- Rs. 1325
ExplanationRequired sum = P.W. of Rs. 702 due 6 months + P.W. of Rs. 702 due 1 year hence = Rs. [ ❨ 100 x 702 ❩ + ❨ 100 x 702 ❩ 100 + (8 x 1) ] 100 + 8 x ½ = Rs. (675 + 650) = Rs. 1325. - 1. Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
Options- A. Rs. 10
- B. Rs. 10.40
- C. Rs. 15.20
- D. Rs. 13 Discuss
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
Options- A. 12%
- B.
13 1 % 3 - C. 15%
- D. 14% Discuss
- 7. The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:
Options- A. Rs. 1386
- B. Rs. 1764
- C. Rs. 1575
- D. Rs. 2268 Discuss
- 8. Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% The rate of interest per annum is:
Options- A.
16 2 % 3 - B.
14 1 % 2 - C.
13 1 % 3 - D. 15% Discuss
- 9. The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively. The sum is:
Options- A. Rs. 1800
- B. Rs. 1450
- C. Rs. 1360
- D. Rs. 6800 Discuss
- 10. The present worth of Rs. 2310 due 2½ years hence, the rate of interest being 15% per annum, is:
Options- A. Rs. 1750
- B. Rs. 1680
- C. Rs. 1840
- D. Rs. 1443.75 Discuss
True Discount problems
Search Results
Correct Answer: Rs. 10.40
Explanation:
S.I. on Rs. (260 - 20) for a given time = Rs. 20.
S.I. on Rs. 240 for half the time = Rs. 10.
T.D. on Rs. 250 = Rs. 10.
| ∴ T.D. on Rs. 260 = Rs. | ❨ | 10 | x 260 | ❩ | = Rs. 10.40 |
| 250 |
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 |
Correct Answer: 0%
Explanation:
C.P. = Rs. 3000.
| S.P. = Rs. | [ | 3600 x 100 | ] | = Rs. 3000. |
| 100 + (10 x 2) |
Gain = 0%.
Correct Answer: gains Rs. 50
Explanation:
| S.P. | = P.W. of Rs. 2200 due 1 year hence | |||||
|
||||||
| = Rs. 2000. |
∴ Gain = Rs. (2000 - 1950) = Rs. 50.
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 |
Correct Answer: 15%
Explanation:
P.W. = Rs. (2562 - 122) = Rs. 2440.
∴ S.I. on Rs. 2440 for 4 months is Rs. 122.
| ∴ Rate = | [ | 100 x 122 | ]% | = 15%. |
|
Correct Answer: Rs. 1764
Explanation:
Let P.W. be Rs. x.
Then, S.I. on Rs. x at 16% for 9 months = Rs. 189.
| ∴ x x 16 x | 9 | x | 1 | = 189 or x = 1575. |
| 12 | 100 |
∴ P.W. = Rs. 1575.
∴ Sum due = P.W. + T.D. = Rs. (1575 + 189) = Rs. 1764.
Correct Answer:
| 16 | 2 | % |
| 3 |
Explanation:
| S.P. = 102% of Rs. 600 = | ❨ | 102 | x 600 | ❩ | = Rs. 612. |
| 100 |
Now, P.W. = Rs. 612 and sum = Rs. 688.50.
∴ T.D. = Rs. (688.50 - 612) = Rs. 76.50.
Thus, S.I. on Rs. 612 for 9 months is Rs. 76.50.
| ∴ Rate = | ❨ | 100 x 76.50 | ❩% | = 16⅔% |
|
Correct Answer: Rs. 1360
Explanation:
| Sum = | S.I. x T.D. | = | 85 x 80 | = Rs. 1360. |
| (S.I.) - (T.D.) | (85 - 80) |
Correct Answer: Rs. 1680
Explanation:
| P.W. = Rs. | [ | 100 x 2310 | ] | = Rs. 1680. | ||
|
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