50+ Aptitude Banker's Discount Problems with Solutions Pdf - 2
Question: 6
The banker’s gain of a certain sum due to 2 years hence at 10% per annum is Rs.24. The present worth is
(A) Rs. 380
(B) Rs. 420
(C) Rs. 520
(D) Rs. 600
Ans: D
T.D. $$({B.G × 100} / {Rate × Time})$$ = $$({24 × 100} / {10 × 2})$$ = Rs. 120.
∴ P.W. = $${100 × T.D.} / {Rate × Time}$$ = Rs. $$({100 × 120} / {10 × 2})$$ = Rs. 600.
Question: 7
The banker’s gain on a sum due 2 years hence at 10% p.a. is Rs.120. The banker’s discount is
(A) Rs. 240
(B) Rs. 480
(C) Rs. 720
(D) Rs. 940
Ans: C
B.G. = Rs. 120; R = 10%; T = 2 years;
T.D. = $${B.G. × 100} / {R × T}$$ = $${120 × 100} / {10 × 2}$$ = Rs. 600.
∴ B.D. = Rs. (600 + 120) = Rs. 720.
Question: 8
If the true discount on a certain sum due 6 months hence at 15% is Rs.120, what is the banker’s discount on the same sum for the same time and at the same rate?
(A) Rs. 120
(B) Rs. 124
(C) Rs. 127
(D) Rs. 129
Ans: D
B.G. = S.I. on T.D. = $$(120 × 15 × {1} / {2} × {1 / 100)$$ = Rs. 9.
∴ (B.D.) – (T.D.) = Rs. 9.
∴ B.D. = Rs. (120 + 9) = 129.
Question: 9
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) 2 months
(B) 3 months
(C) 4 months
(D) 6 months
Ans: C
S.I. on Rs. 1600 = T.D. on Rs. 1680.
∴ 1600 is the P.W. of Rs. 1680, i.e.,
Rs. 80 is S.I. on Rs. 1600 at 15%.
∴ Time = $$({100 × 80} / {1600 × 15})$$year = $${1}/{3}$$year = 4 months.
Question: 10
The present worth of a certain sum due sometimes hence is Rs.1700 and the true discount is Rs.170. The banker’s gain is
(A) Rs. 16
(B) Rs. 17
(C) Rs. 20
(D) Rs. 24
Ans: B
Given P.W. = Rs. 1700
. T.D. = Rs. 170
∴ B.G. = $$ {(T.D)^2} / {P.W.}$$ = $${(170)^2} / {1700}$$ = Rs. 17.
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