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- Question
The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:
Options- A. Rs. 360
- B. Rs. 432
- C. Rs. 540
- D. Rs. 1080
- Correct Answer
- Rs. 360
ExplanationSum = B.D. x T.D. = Rs. ❨ 72 x 60 ❩ = Rs. ❨ 72 x 60 ❩ = Rs. 360. B.D. - T.D. 72 - 60 12
Banker's Discount problems
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- 1. 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.
- 2. 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.
- 3. 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
- 4. 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 - 5. 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 - 6. 582, 605, 588, 611, 634, 617, 600
Options- A. 634
- B. 611
- C. 605
- D. 600 Discuss
Correct Answer: 634
Explanation:
Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong.- 7. 22, 33, 66, 99, 121, 279, 594
Options- A. 33
- B. 121
- C. 279
- D. 594 Discuss
Correct Answer: 279
Explanation:
Each of the number except 279 is a multiple of 11.- 8. 8, 13, 21, 32, 47, 63, 83
Options- A. 47
- B. 63
- C. 32
- D. 83 Discuss
Correct Answer: 47
Explanation:
Go on adding 5, 8, 11, 14, 17, 20.So, the number 47 is wrong and must be replaced by 46.
- 9. 1, 8, 27, 64, 124, 216, 343
Options- A. 8
- B. 27
- C. 64
- D. 124 Discuss
Correct Answer: 124
Explanation:
The numbers are 1 3, 2 3, 3 3, 4 3 etc. So, 124 is wrong; it must have been 5 3 i.e., 125.- 10. 1, 2, 6, 15, 31, 56, 91
Options- A. 31
- B. 91
- C. 56
- D. 15 Discuss
Correct Answer: 91
Explanation:
1, 1 + 12 = 2, 2 + 22 = 6, 6 + 32 = 15, 15 + 42 = 31, 31 + 52 = 56, 56 + 62 = 92Last number of given series must be 92 not 91.
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