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- Question
- If the true discount on Rs. 161 due 2 1/ years hence be Rs. 21. At what rate per cent is the interest calculated?
Options- A. 6%
- B. 4%
- C. 8%
- D. 12%
- Correct Answer
- 6%
ExplanationRequired rate percent = (100 x 21) / {(161 - 21) x 21/2} = 6%
- 1. The present worth of a bill due 7 months hence is Rs. 1200 and if the bill were due at the end of 2 1/ 2 years, its present worth would be Rs. 1016. Find the rate percent and the sum of the bill?
Options- A. 10%, Rs. 1270
- B. 8%, Rs. 1720
- C. 16%, Rs. 1570
- D. 18%, Rs. 1560 Discuss
- 2. The true discount on a bill due 10 months hence at 6% per annum is Rs. 26.25. Then the amount of the bill is?
Options- A. Rs. 551.25
- B. Rs. 550
- C. Rs. 551.50
- D. Rs. 550.25 Discuss
- 3. If the discount on Rs. 3050 be equal to the simple interest on Rs. 3000 for the same time. Find the time, the rate of interest being 5% per annum?
Options- A. 4 months
- B. 6 months
- C. 3 months
- D. None of these Discuss
- 4. Find the present worth of a bill of Rs. 2420 due 2 years later at 10% compound interest. Also find the true discount?
Options- A. Rs. 2000, Rs. 420
- B. Rs. 2200, Rs. 520
- C. Rs. 2100, Rs. 460
- D. None of these Discuss
- 5. Find the true discount on Rs. 39.69 due in 2 years reckoning compound interest at 5%?
Options- A. Rs. 3.69
- B. Rs. 5
- C. Rs. 5.69
- D. Rs. 4.69 Discuss
- 6. 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
- 7. Goods were bought for Rs. 600 and sold the same day for Rs. 650.25 at a credit of 9 month and still there was a gain of 2%. The rate percent is?
Options- A. 61/3%
- B. 81/3%
- C. 8%
- D. 743/61% Discuss
- 8. The true discount on Rs. 1860 due 3 years hence is Rs. 40. Find the rate per cent?
Options- A. 10%
- B. 12%
- C. 5%
- D. 15% Discuss
- 9. The interest on Rs. 750 for 2 years is equal to the true discount on Rs. 810 for the same time and at the same rate. The rate percent is?
Options- A. 41/3%
- B. 51/6%
- C. 4%
- D. 5% Discuss
- 10. A trader owes a merchant Rs. 901 due 1 year's hence. However, the trader wants to settle the account after 3 months. How much cash should he pay, If rate of interest is 8% per annum?
Options- A. Rs. 870
- B. Rs. 850
- C. Rs. 828.92
- D. Rs. 846.94 Discuss
True Discount problems
Search Results
Correct Answer: 10%, Rs. 1270
Explanation:
? 1200/1016 = (100 + R x 5/2) / (100 + R x 7/12)
? 1200 x (100 + R x 7/12) = 1016 x (100 + R x 5/2)
? 3680 x R = 36800
? R = 10%
? Sum due = 1200 + S.I. on Rs. 1200 for 7 months at 10%. = Rs. 1270
Correct Answer: Rs. 551.25
Explanation:
SI on rupees 100 for 10 months at 6% per annum = (100 x 10 x 6)/(12 x 100) = Rs. 5.
? Amount = 100 + 5 = 105.
So true discount = 105 - 100 = Rs. 5
So If TD = 5 then sum due = 100
So, when TD = 26.25 the sum = (100 x 26.25) / 5 = Rs. 551.25
Correct Answer: 4 months
Explanation:
? 5 = {(3050 - 3000) / (3000 x T)} x 100
? T = 1/3 years = 4 months
Correct Answer: Rs. 2000, Rs. 420
Explanation:
Here sum is put on compound interest,
? P.W. = A / (1 + r / 100)n = 2420 / (1 + 10 / 100)2 = 2420 x 100 / 121 = Rs. 2000
? T.D. = P.W. - P
? True discount = 2420 - 2000 = Rs. 420
Correct Answer: Rs. 3.69
Explanation:
? P.W. = 39.69 / (1 + 5 / 100)2
= (3969 x 100 x 100) / (100 x 105 x 105) = Rs. 36
? True discount = Rs. 39.69 - 36 = Rs. 3.69
Correct Answer: Rs. 18.33
Explanation:
S.I. on Rs. (110 - 10) for a given time = Rs. 10
S.I. on Rs. 100 for double the time = 20
Sum = Rs. (100 + 20) = Rs. 120
T.D. on Rs. 110 = Rs. (20 /120) x 110 = Rs. 18.33
Correct Answer: 81/3%
Explanation:
S.P. = (102% of Rs. 600) = Rs. (102/100) x 600 = Rs. 612
? P.W. of Rs. 650.25 due 9 months later is Rs. 612.
? Rs. 38.25 is S.I. on Rs. 612 for 9 months
? Rate = (100 x 38.25) / (612 x 3/4)% = 81/3%
Correct Answer: 10%
Explanation:
R = (100 x T.D.) / (P.W. x T) = (100 x T.D.) / [(A - T.D.) x T]
= (100 x 60) / (1800 x 3) [ since P.W. = A - T.D.]
= 10%
? The rate per cent is 10% per annum
Correct Answer: 4%
Explanation:
Since T.D. is S.I. on Rs. P.W.,
we have Rs. (810 - 750) or Rs. 60 as S.I. on Rs. 750 for 2 years
? Rate = (100 x 60) / (750 x 2) = 4%
Correct Answer: Rs. 850
Explanation:
P.W. of Rs. 901 due 9 months hence at 8%
= Rs { (100 x 901) / (100 + (8 x 3 / 4))} = Rs. (100 x 901) / 106
= Rs. 850
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