Quantitative Aptitude
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Question 1
The banker's gain on a sum due 3 years hence at 12% per annum is ₹ 270. The banker's discount is:
Correct Answer: Option C
| T.D. = | ![]() |
B.G. x 100 | ![]() |
= ₹ | ![]() |
270 x 100 | ![]() |
= ₹ 750. |
| R x T | 12 x 3 |
B.D. = ₹ (750 + 270) = ₹ 1020.
Question 2
The banker's discount on ₹ 1600 at 15% per annum is the same as true discount on ₹ 1680 for the same time and at the same rate. The time is:
Correct Answer: Option B
S.I. on ₹ 1600 = T.D. on ₹ 1680.
₹ 1600 is the P.W. of ₹ 1680, i.e., ₹ 80 is on ₹ 1600 at 15%.
Time = |
![]() |
100 x 80 | year |
= | 1 | year = 4 months. |
| 1600 x 15 | 3 |
Question 3
The banker's discount on a sum of money for 1
years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:
years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:
Correct Answer: Option C
B.D. for years |
= Rs. 558. | |||||||
| B.D. for 2 years |
|
|||||||
| = Rs. 744 |
T.D. for 2 years = Rs. 600.
Sum = |
B.D. x T.D. | = Rs. | ![]() |
744 x 600 | ![]() |
|
| B.D. - T.D | 144 |
| = Rs. 3100. | ||||||
Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.
Rate = |
![]() |
100 x 744 | % |
= 12% |
| 3100 x 2 |
Question 4
The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
Correct Answer: Option A
| T.D. |
|
|||||||||||
|
||||||||||||
|
||||||||||||
| = Rs. 400. |
Question 5
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:
Correct Answer: Option A
| Sum = | B.D. x T.D. | = Rs. | ![]() |
72 x 60 | ![]() |
|||||
| B.D. - T.D. | 72 - 60 |
| = Rs. | ![]() | 72 x 60 | ![]() | = Rs. 360. | ||||||
| 12 |
Question 6
The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:
Correct Answer: Option D
| T.D. = | B.G. x 100 | = Rs. | ![]() |
6 x 100 | ![]() |
|
| R x T | 12 x 1 |
= Rs. 50
Question 7
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:
Correct Answer: Option B
| B.G. = | (T.D.)2 | = Rs. | ![]() |
36 x 36 | ![]() |
|
| P.W. | 800 |
= Rs. 1.62
B.D. = (T.D. + B.G.) = Rs. (36 + 1.62) = Rs. 37.62
Question 8
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:
Correct Answer: Option C
| B.G. = | (T.D.)2 | = Rs. | ![]() |
160 x 160 | ![]() |
|
| P.W. | 1600 |
= Rs. 16.
Question 9
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
Correct Answer: Option C
| T.D. = | ![]() |
B.G. x 100 | ![]() |
= Rs. | ![]() |
24 x 100 | ![]() |
|
| Rate x Time | 10 x 2 |
= Rs. 120.
P.W. = |
100 x T.D. | = Rs. | ![]() |
100 x 120 | ![]() |
|
| Rate x Time | 10 x 2 |
= Rs. 600.
Question 10
The banker's discount on a certain sum due 2 years hence is 11/10 of the true discount.
The rate percent is:
Correct Answer: Option C
Let T.D. be Re. 1.
| Then, B.D. = Rs. | 11 | = Rs. 1.10. |
| 10 |
Sum = Rs. |
![]() |
1.10 x 1 | ![]() |
= Rs. | ![]() |
110 | ![]() |
|
| 1.10 - 1 | 10 |
= Rs. 11.
S.I. on Rs. 11 for 2 years is Rs. 1.10
Rate = |
![]() |
100 x 1.10 | % |
= 5%. |
| 11 x 2 |


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