Quantitative Aptitude
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Question 11
The present worth of a sum due sometime hence is Rs. 576 and the banker's gain is Rs. 16. The true discount is:
Correct Answer: Option D
T.D. = P.W. x B.G. = 576 x 16 = 96.
Question 12
The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:
Correct Answer: Option B
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.
Question 13
Find the banker’s gain, if the present worth of a certain amount is Rs.2400 and the true discount is Rs.120.
Correct Answer: Option C
| B.G. = | (T.D.)2 | = Rs. | |
120x 120 | |
= Rs. 6 |
| P.W. | 2400 |
Question 14
If the banker’s discount on a certain amount of money is Rs.80 and the true discount on the same amount for the same time duration is Rs.64, then the amount due is:
Correct Answer: Option A
| Sum = | B.D. x T.D. | = Rs. | |
80 x 64 | |
|||||
| B.D. - T.D. | 80 - 64 |
| = Rs. | | 80 x 64 | | = Rs. 320. | ||||||
| 16 |
Question 15
Find the rate percent if the banker’s gain on a certain sum due two and a half year hence is 1/5 of the banker’s discount.
Correct Answer: Option C
Let B.D. be Re. 1.
| Then, B.G. = Rs. | 10 | = Rs. 2. |
| 5 |
T.D = (B.D - B.G) = (10 - 2) = Rs. 8.
| Sum = Rs. |
|
10 x 8 | |
= Rs. | |
80 | |
= Rs. 40. |
| 10 - 8 | 2 |
S.I. on Rs. 40 for 2.5 years is Rs. 10
| Rate = |
|
100 x 10 | % |
= 10%. |
| 40 x 2.5 |