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- Question
The certain worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. The banker's gain is:
Options- A. Rs. 20
- B. Rs. 24
- C. Rs. 16
- D. Rs. 12
- Correct Answer
- Rs. 16
ExplanationB.G. = (T.D.)2 = Rs. ❨ 160 x 160 ❩ = Rs. 16. P.W. 1600
Banker's Discount problems
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- 1.
The banker's gain on a certain sum due 1 1 years hence is 3 of the banker's 2 25 discount. The rate percent is:
Options- A.
5 1 % 5 - B.
9 1 % 11 - C.
8 1 % 8 - D.
6 1 % 6
Discuss
Correct Answer:9 1 % 11
Explanation:
Let, B.D = Re. 1.Then, B.G. = Re. 3 . 25 ∴ T.D. = (B.D. - B.G.) = Re. ❨ 1 - 3 ❩ = Re. 22 . 25 25 Sum = ❨ 1 x (22/25) ❩ = Rs. 22 . 1-(22/25) 3 S.I. on Rs. 22 for 1 1 years is Re. 1. 3 2 ∴ Rate = ❨ 100 x 1 ❩% = 100 = 9 1 %. 11 11 22 x 3 3 2 - 2. The banker's discount on a sum of money for 1½ years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:
Options- A. 10%
- B. 13%
- C. 12%
- D. 15% Discuss
Correct Answer: 12%
Explanation:
B.D. for 3⁄2 years = Rs. 558. B.D. for 2 years = Rs. ❨ 558 x 2 x 2 ❩ 3 = Rs. 744 T.D. for 2 years = Rs. 600.
∴ Sum = B.D. x T.D. = Rs. ❨ 744 x 600 ❩ = Rs. 3100. B.D. - T.D 144 Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.
∴ Rate = ❨ 100 x 744 ❩% = 12% 3100 x 2 - 3. The present worth of a sum due sometime hence is Rs. 576 and the banker's gain is Rs. 16. The true discount is:
Options- A. Rs. 36
- B. Rs. 72
- C. Rs. 48
- D. Rs. 96 Discuss
Correct Answer: Rs. 96
Explanation:
T.D. = √P.W. x B.G. = √576 x 16 = 96.- 4. The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
Options- A. Rs. 400
- B. Rs. 360
- C. Rs. 480
- D. Rs. 320 Discuss
Correct Answer: Rs. 400
Explanation:
T.D. = B.D. x 100 100 + (R x T) = Rs. [ 420 x 100 ] 100 + ❨ 15 x 1 ❩ 3 = Rs. ❨ 420 x 100 ❩ 105 = Rs. 400. - 5. The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:
Options- A. 3 months
- B. 4 months
- C. 6 months
- D. 8 months Discuss
Correct Answer: 4 months
Explanation:
S.I. on Rs. 1600 = T.D. on Rs. 1680.∴ Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.
∴ Time = ❨ 100 x 80 ❩year = 1 year = 4 months. 1600 x 15 3 - 6. The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
Options- A. Rs. 480
- B. Rs. 520
- C. Rs. 600
- D. Rs. 960 Discuss
Correct Answer: Rs. 600
Explanation:
T.D. = ❨ B.G. x 100 ❩ = Rs. ❨ 24 x 100 ❩ = Rs. 120. Rate x Time 10 x 2 ∴ P.W. = 100 x T.D. = Rs. ❨ 100 x 120 ❩ = Rs. 600. Rate x Time 10 x 2 - 7. The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:
Options- A. Rs. 72
- B. Rs. 36
- C. Rs. 54
- D. Rs. 50 Discuss
Correct Answer: Rs. 50
Explanation:
T.D. = B.G. x 100 = Rs. ❨ 6 x 100 ❩ = Rs. 50. R x T 12 x 1 - 8. The present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. The banker's discount is:
Options- A. Rs. 37
- B. Rs. 37.62
- C. Rs. 34.38
- D. Rs. 38.98 Discuss
Correct Answer: Rs. 37.62
Explanation:
B.G. = (T.D.)2 = Rs. ❨ 36 x 36 ❩ = Rs. 1.62 P.W. 800 ∴ B.D. = (T.D. + B.G.) = Rs. (36 + 1.62) = Rs. 37.62
- 9. The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:
Options- A. Rs. 960
- B. Rs. 840
- C. Rs. 1020
- D. Rs. 760 Discuss
Correct Answer: Rs. 1020
Explanation:
T.D. = ❨ B.G. x 100 ❩ = Rs. ❨ 270 x 100 ❩ = Rs. 750. R x T 12 x 3 ∴ B.D. = Rs.(750 + 270) = Rs. 1020.
- 10. The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:
Options- A. Rs. 60
- B. Rs. 108
- C. Rs. 110
- D. Rs. 112 Discuss
Correct Answer: Rs. 108
Explanation:
P.W. = Rs. (540 - 90) = Rs. 450.∴ S.I. on Rs. 450 = Rs. 90.
S.I. on Rs. 540 = Rs. ❨ 90 x 540 ❩ = Rs. 108. 450 ∴ B.D. = Rs. 108.
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