True Discount problems
- 1. A bill falls due in 1 year.The creditor agrees to accept immediate payment of the half and to defer the payment of the other half for 2 years.By this arrangement ins Rs.40.what is the amount of the bill,if he money be worth 12.5%?
Options- A. 1200
- B. 3000
- C. 3600
- D. 1300 Discuss
Correct Answer: 3600
Explanation:
Let the sum be Rs. x. Then,
(x/2)+(2x/5)-(8x/9) = 40
x=3600.
Therfore, amount of bill=Rs. 3600.
- 2. The True discount on Rs1760 due after a certain time at 12% per annum is Rs160. The time after which it is due is?
Options- A. 15months
- B. 5months
- C. 12months
- D. 10months Discuss
Correct Answer: 10months
Explanation:
P.W = Rs. (1760 - 160) = Rs.1600
S.I on Rs.1600 at 12% is Rs. 160
Time = (100 x 160)/(1600 x 12) = 5/6 years = (5/6) x 12 months = 10 months
- 3. The interest on Rs.750 for 2yrs is the same as the True Discount on Rs.960 due 2yrs hence . If the rate of interest is same in both cases,it is:
Options- A. 12%
- B. 14%
- C. 15%
- D. 16 Discuss
Correct Answer: 14%
Explanation:
S.I on Rs.750= T.D on Rs. 960
This means P.W of Rs. 960 due 2 years hence is Rs.750
Therefore , T.D= Rs. (960 - 750) = Rs. 210
Thus, S.I on Rs. 750 for 2 years is Rs. 210
Rate =[ (100 x 210) / (750 x 2) ] % = 14%
- 4. A has to pay Rs.220 to B after 1yr. B asks A to pay Rs.110 in cash and defer the payment of Rs.110 for 2 yrs. A agrees to it. If the rate of interest be 10% per annum in this mode of payment:
Options- A. A gains Rs.11
- B. There is No gain or loss
- C. A losses 7.43
- D. A gains Rs. 7.34 Discuss
Correct Answer: A gains Rs. 7.34
Explanation:
A has to pay = Present worth of Rs220 due 1yr hence
= Rs.[(220 x 100)/100+(10 x 1)] = Rs.200
A actually pays = Rs.110+PW of Rs.110 due 2 yrs hence
= [110+(110 x 100)] / [100+(10 x 2)] = Rs.192.66
So, A gains Rs. (200-192.66) = Rs.7.34
- 5. The true discount on a certain sum of money due 3 year hence is Rs.100 and the S.I. on the same sum for the same time and at the same rate is Rs.120. Find the sum and the rate percent.
Options- A. (6 + 2/3)%
- B. (5+ 2/3)%
- C. (2+ 2/3)%
- D. (4+ 2/3)% Also asked in: Bank Exams, Bank PO
Correct Answer: (6 + 2/3)%
Explanation:
Sum ? Amount
A = (SI x TD)/(SI - TD)
- 6. The true discount on a bill due 9 months hence at 12% per annum is Rs 540. Find the amount of the bill and its present worth?
Options- A. 1600
- B. 7000
- C. 6000
- D. 6500 Discuss
Correct Answer: 6000
Explanation:
Let amount be Rs.x then,
[X * R * T] / [100 + (R * T)] = T.D
=> [x * 12 * (3/4)] / [100+(12 * 3/4)] =540
=> x = 6540
Amount = Rs.6540
P.W = Rs.(6540 -540) = Rs.6000
- 7. The TrueDiscount on a certain sum of money due 3 years hence is Rs.250 and SimpeInterest on the same sum for same time and same rate is Rs375. Find sum and rate%?
Options- A. (16 + 4/3)%
- B. (16 +1/3)%
- C. (16 + 5/3)%
- D. (16 + 2/3)% Discuss
Correct Answer: (16 + 2/3)%
Explanation:
sum = [(S.I x T.D)/(S.I-T.D)] = Rs. [(375 x 250)/(375-250)] = Rs.750
Rate = (100 x 375)/(750 x 3) = %
- 8. The Present worth of Rs.2310 due 212 years hence ,the rate of interest being 15% per annum, is :
Options- A. Rs.1440
- B. Rs.1750
- C. Rs.1680
- D. Rs.1840 Discuss
Correct Answer: Rs.1680
Explanation:
= Rs.1680
- 9. If the truediscount on a sum due 2yrs hence at 14% per annum be Rs168. The sum due is?
Options- A. 700
- B. 760
- C. 768
- D. 786 Discuss
Correct Answer: 768
Explanation:
P.W = (100 x T.D)/(R x T) = (100 x 168)/(14 x 2)= 600
Sum = (P.W + T.D) = Rs. (600+ 168) = Rs.768.
- 10. The true discount on Rs.2562 due 4 months hence is Rs.122.The rate % is?
Options- A. 12%
- B. 13 (1/3)%
- C. 15%
- D. 14% Discuss
Correct Answer: 12%
Explanation:
P.W = Rs.( 2562 - 122) = Rs.2440
S.I on Rs.2440 for 4 months is Rs.122
Rate = (100 x 122)/(2440 x [1/3]) % = 15%
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