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- Question
- The interest on a certain sum of money is Rs. 67.20 and the discount on the same of money for the same time and at the same rate is Rs. 60. What is sum?
Options- A. Rs. 560
- B. Rs. 480
- C. Rs. 590
- D. Rs. 860
- Correct Answer
- Rs. 560
ExplanationInterest on Sum - True discount
= Interest on true Discount.
Proof Sum = P.W. + T.D.
? Interest on Sum = Interest on P.W. + Interest on T.D.
= T.D. + Interest on T.D.
Interest on Sum - T.D. = Interest on T.D. or Banker's gain = Int. on T.D.
Rs. 67.20 - Rs. 60 = Interest on Rs. 60
? Rs. 71/5 = Interest on Rs. 60
? Re.1 = Interest on Rs. 60/71/5
? Rs. 671/5 = Interest on Rs. 60 / 71/5 x 671/5
? The required sum = Rs. 60/71/5 x 671/5 = Rs. 560 - 1. Find the difference between the banker's discount and the true discount on Rs. 8100 for 3 months at 5%?
Options- A. Rs. 0.125
- B. Rs. 1.25
- C. Rs. 12.5
- D. None of these Discuss
- 2. The banker's discount on a sum of money for 1 1/ 2 years is Rs. 60 and
the true discount on the same sum for 2 years is Rs. 75. The rate per cent is?
Options- A. 5%
- B. 6%
- C. 62/3%
- D. 31/3% Discuss
- 3. The banker's discount on Rs. 1650 due a certain time hence is Rs. 165. Find the true discount and the banker's gain?
Options- A. Rs. 150, Rs. 15
- B. Rs. 160, Rs. 5
- C. Rs. 145, Rs. 20
- D. None of these Discuss
- 4. The banker's gain on a certain sum due 2 1/ 2 years hence is (3/23)
of the banker's discount. The rate per cent is?
Options- A. 5%
- B. 6%
- C. 214/23%
- D. 623% Discuss
- 5. What rate per cent does Shantanu get for his money in discounting a bill due 30 months hence he deducts 30% of the amount of the bill?
Options- A. 172/7%
- B. 173/7%
- C. 175/7%
- D. 171/7% Discuss
- 6. The banker's gain on a bill due 1 year 4 months hence at 7 1/ 2% per annum simple interest is Rs. 16. Find the sum?
Options- A. Rs. 1760
- B. Rs. 1560
- C. Rs. 1660
- D. Rs. 1860 Discuss
- 7. The banker's gain on a bill due 1 year hence at 10% per annum is Rs. 20. What is the true discount?
Options- A. Rs. 200
- B. Rs. 100
- C. Rs. 150
- D. Rs. 250 Discuss
- 8. The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 360. The banker's discount is:
Options- A. Rs. 1360
- B. Rs. 1000
- C. Rs. 360
- D. Rs. 640 Discuss
- 9. The true discount on Rs. 2,562 due 4 months hence is Rs. 122. The rate percent is?
Options- A. 12
- B. 13
- C. 15
- D. 14 Discuss
- 10. Find the present worth of Rs. 9300, due 3 years hence at 8% per annum. Also find the discount?
Options- A. 1,860
- B. 1,800
- C. 1,850
- D. 1,890 Discuss
Banker's Discount problems
Search Results
Correct Answer: Rs. 1.25
Explanation:
Difference between banker's discount and the true discount = Banker's gain.
? B.G. = (B.D.) - (T.D.)
B.D. = FTR / 100
= [8100 x (1/4) x 5] / 100
= 101.25
T.D. = FTR / (100 + TR)
= [8100 x (1/4) x 5] / (100 + 5/4)
= 100
? B.G. = 101.25 - 100
= Rs. 1.25
Correct Answer: 31/3%
Explanation:
B.D. for (3/2) years = Rs. 60
B.D. for 2 years = Rs. (60 x 2/3 x 2) = Rs. 80
Now, B.D. = Rs. 80; T.D. = Rs. 75
and Time = 2 years
? Sum = Rs. (80 x 75 / 5) = Rs. 1200
? Rs. 80 is S.I. on Rs. 1200 for 2 years.
So, rate = (100 x 80/1200 x 2)% = 31/3%B.D. for (3 / 2) years = Rs. 60
B.D. for 2 years = Rs. (60 x 2 / 3 x 2) = Rs. 80
Now, B.D. = Rs. 80; T.D. = Rs. 75 and Time = 2 years
? Sum = Rs. (80 x 75 / 5) = Rs. 1200
? Rs. 80 is S.I. on Rs. 1200 for 2 years.
So, rate = (100 x 80 / 1200 x 2)% = 31/3%
Correct Answer: Rs. 150, Rs. 15
Explanation:
Sum = (B.D. x T.D.) / (B.D. - T.D.) = (B.D. x T.D.) / B.G.
? T.D. / B.G. = Sum / B.D. = 1650/165 = 10/1
i.e., if B.G. is Re. 1, T.D. = Rs. 10 or B.D. = Rs. 11
? if B.D. is Rs. 11, T.D. = Rs. 10
If B.D. is Rs. 165, T.D. = Rs. (10/11) x 165 = Rs. 150
Also, BG = Rs. (165 - 150) = Rs. 15
Correct Answer: 6%
Explanation:
Let B.D. be Re. 1. Then B.G. = Re. (3/23)
? T.D.= Re. (1 - 3/23) = Re. (20/23)
Sum = Rs. [(1 x 20/23 / (1 - 20/23)] = Rs. 20/3
? S.I. on Rs. 20/3 for 21/2 years is Re. 1
? Rate = (100 x 1 / 20/3 x 5/2)% = 6%
Correct Answer: 171/7%
Explanation:
Let the amount of the bill = ? 100.
Money deducted = ? 30
Money received by the holder of the bill = ? (100 - 30) = ? 70
SI on ? 70 for 30 months = ? 30
? Rate = [100 x 30] / [70 x (30/12)]% per annum
= (10 x 3 x 12) / 21 %
= (10 x 12) / 7 %
= 120/7 %
= 171/7 %
Correct Answer: Rs. 1760
Explanation:
T.D = (16 x 100)/ (4/3 x 15/2) = Rs. 160
B.D. = Rs. 160 + Rs. 16 = Rs. 176
? Sum = [176 x 100] / [(4/3) x (15/2)] = Rs. 1760
Correct Answer: Rs. 200
Explanation:
Correct Answer: Rs. 1360
Explanation:
Correct Answer: 15
Explanation:
Correct Answer: 1,800
Explanation:
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