50+ Banker's Discount Aptitude Questions and Answers - 1
Question: 1
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. 760
(B) Rs. 840
(C) Rs. 960
(D) Rs. 1020
Ans: D
T.D. = $$({B.G × 100} / {R × T})$$
= Rs. $$({270 × 100} / {12 × 3})$$
= Rs. 750.
∴ B.D. = Rs. (750 + 270) = Rs. 1020.
Question: 2
The banker’s discount on Rs.1800 at 12% per annum is equal to the true discount on Rs. 1872 for the same time at the same rate. Find the time.
(A) 2 months
(B) 3 months
(C) 4 months
(D) 5 months
Ans: c
S.I. on Rs. 1800 = T.D. on Rs. 1872.
∴ P.W. of Rs. 1872 is Rs. 1800.
∴ Rs. 72 is S.I. on Rs. 1800 at 12%.
∴ Time = $$({100 × 72} / {12 × 1800})$$year = $${1}/{3}$$year = 4 months.
Question: 3
The banker’s discount on a certain sum of money is Rs.84 and true discount on the same sum for the same time is Rs.70. The sum due is
(A) Rs. 350
(B) Rs. 380
(C) Rs. 420
(D) Rs. 450
Ans: C
Given B.D. = Rs. 84. T.D. = Rs. 70.
$${B.D. × T.D.} / {B.D. - T.D}$$ = $${84 × 70} /{ 84 - 70}$$ = Rs. 420.
Question: 4
The banker’s gain on a bill due 1 year hence at 15% p.a. is Rs.9. The true discount is
(A) Rs. 50
(B) Rs. 55
(C) Rs. 58
(D) Rs. 60
Ans: D
B.G. = Rs. 9; T = 1 year; R = 15% p.a.
T.D. = $${B.G. × 100} / {R × T}$$ = $${9 × 100} / {15 × 1}$$ = Rs. 60.
Question: 5
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
(A) Rs. 37.62
(B) Rs. 34.68
(C) Rs. 38.98
(D) Rs.48.98
Ans: A
B.G. = $${(T.D)^2} / {P.W}$$
= Rs. $$({36 × 36} / {800})$$
= Rs. 1.62.
∴ B.D. = (T.D. + B.G) = Rs. (36 + 1.62) = Rs. 37.62.
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