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- Question
- If the true discount for a sum of ? 50000 for a period of 4 yr at a certain rate of interest per annum is ? 2000, find the rate of interest.
Options- A. 1%
- B. 1.5%
- C. 2%
- D. 5%
- Correct Answer
- 1%
ExplanationGiven that, PW =? 50000,
TD =? 2000, T = 4 yr and R = ?
According to the formula, (1)
TD = (PW x R x T) / 100
? 2000 = (50000 x R x 4) / 100
? R = (2000 x 100) / (50000 x 4) = 20/20 = 1% - 1. What will be the true discount for the present worth of ? 600 for a period of 4 yr at 4% per annum rate of interest?
Options- A. ? 100
- B. ? 32
- C. ? 86
- D. ? 96 Discuss
- 2. A man buys a watch for Rs. 195 in cash and sells it for Rs. 220 at a credit of 1 year. If the rate of interest is 10%, the man?
Options- A. Gains Rs. 15
- B. Gains Rs. 3
- C. Gains Rs. 5
- D. Loses Rs. 5 Discuss
- 3. The difference between the simple interest and the true discount on a certain sum of money foe 6 months at 6% is Rs. 27. Find the sum?
Options- A. Rs. 30900
- B. Rs. 39000
- C. Rs. 20900
- D. Rs. 30600 Discuss
- 4. The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 25 and Rs. 20 respectively. The sum is?
Options- A. Rs. 500
- B. Rs. 200
- C. Rs. 250
- D. Rs. 100 Discuss
- 5. If the interest on Rs. 50 at 4 1/ 2 be equal to the discount on Rs. 59 for the same time and at the same rate when is the latter sum due?
Options- A. 2 years
- B. 4 years
- C. 6 years
- D. 3 years Discuss
- 6. Find the present worth of Rs. 264 due in 2 years reckoning simple interest at 5 percent per annum?
Options- A. Rs. 240
- B. Rs. 360
- C. Rs. 540
- D. Rs. 260 Discuss
- 7. What is the present worth of Rs. 272.61 due in 2 years 73 days at 7 1/ 2 percent?
Options- A. Rs. 334
- B. Rs. 254
- C. Rs. 234
- D. None of these Discuss
- 8. The true discount on a certain sum of money due after 2 1/ 2 years at 6% per annum is less than the simple interest on the same sum for the same time by Rs. 81. Find the sum?
Options- A. Rs. 4140
- B. Rs. 4240
- C. Rs. 4150
- D. Rs. 4250 Discuss
- 9. The true discount on Rs. 340 due 5 years hence is Rs. 40. Find the rate percent?
Options- A. 3%
- B. 22/3%
- C. 31/3%
- D. 32/3% Discuss
- 10. If the true discount on $ 161 is due for 2 years and 6 months is $ 21, then find the rate of interest.
Options- A. 2 1 % 2
- B. 4 1 % 2
- C. 5%
- D. 6% Discuss
True Discount problems
Search Results
Correct Answer: ? 96
Explanation:
Given that, T = 4 yr, R = 4%
PW = ? 600 and TD = ?
According to the formula, (1)
TD = (PW x R x T)/100
TD = (600 x 4 x 4)/100 = 6 x 4 x 4 = ? 96
Correct Answer: Gains Rs. 5
Explanation:
P.W. of Rs. 220 due 1 year hence = Rs. (100 x 220) / (100 + 10)
= Rs. 200
hence, the man gains Rs. 5
Correct Answer: Rs. 30900
Explanation:
Req. amount = [27 x (100 + 6 x 1/2) x 100] / [(6 x 1/2)2]
= (2700 x 103) / 9 = Rs. 30900
Correct Answer: Rs. 100
Explanation:
Sum = [(S.I.) x (T.D.)] / [(S.I.) - (T.D.)] = Rs. (25 x 20) / (25 - 20)
= Rs. 100
Correct Answer: 4 years
Explanation:
? 9/2 = [(59 - 50) x 100] / 50 x T
? T = 4 years
Correct Answer: Rs. 240
Explanation:
P.W. = (100 x 264) / (100 + 5 x 2)
= Rs. (100 x 264) / 110
= Rs. 240.
Correct Answer: Rs. 234
Explanation:
Required answer = (100 x 272.61) / (100 + 15/2 x 273/365)
= 27261 / (100 + 33/2) = (27261 x 2)/233
= Rs. 234.
Correct Answer: Rs. 4140
Explanation:
Req. amount = [81 x (100 + 6 x 5/2) x 100] / [(6 x 5/2)2]
= (8100 x 115) / 225
= Rs. 4140
Here, S.I. - T.D. = Rs. 81
Correct Answer: 22/3%
Explanation:
T.D. = [Amount x R x T] / [100 + (R x T)]
? 40 = [340 x R x 5] / [100 + 5R]
? 40 = (1700 x R) / (100 + 5R)
? R = 22/3%;
Correct Answer: 6%
Explanation:
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