# bankers discount aptitude questions

1. The banker’s discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
 A. Rs. 400 B. Rs. 360 C. Rs. 480 D. Rs. 320

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.

2. 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:
 A. 3 months B. 4 months C. 6 months D. 8 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

3. The banker’s gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
 A. Rs. 480 B. Rs. 520 C. Rs. 600 D. Rs. 960

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

4. 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:
 A. 10% B. 13% C. 12% D. 15%

Explanation:

B.D. for 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

5. The banker’s gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker’s discount is:
 A. Rs. 960 B. Rs. 840 C. Rs. 1020 D. Rs. 760