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- Question
- 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%
- Correct Answer
- 31/3%
ExplanationB.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% - 1. 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
- 2. 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
- 3. 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
- 4. The true discount on a certain sum due 1 yr hence at 30% per annum, is ? 240. What is the banker' discount on the same sum for the same time and at the same rate?
Options- A. ? 400
- B. ? 212
- C. ? 312
- D. ? 445 Discuss
- 5. If rate of interest and time on a certain bill are numerically equal and true discount is 81 times of banker's gain, find the rate of interest?
Options- A. 29/13 %
- B. 12/9 %
- C. 17/9 %
- D. 11/9 % Discuss
- 6. 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
- 7. 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 Discuss
- 8. 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
- 9. 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
- 10. 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
Banker's Discount problems
Search Results
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: ? 312
Explanation:
We know that
BG = SI on TD = (240 x 30 x 1 x 1)/100
= ? 72
BG = BD - TD
? BD = BG + TD
= 72 + 240
= ? 312
Correct Answer: 11/9 %
Explanation:
Given that, n = 81
According to the formula.
R = 10?1/n%
= 10?1/81%
= 10 x (1/9) % = 11/9 %
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: Rs. 560
Explanation:
Interest 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
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:
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