50+ Aptitude Banker's Discount Problems with Solutions Pdf - 1
Question: 1
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
(A) Rs. 260
(B) Rs. 360
(C) Rs. 540
(D) Rs. 1080
Ans: B
Sum = $${B.D × T.D.} / {B.D. – T.D.}$$
= Rs. $$({72 × 60} / {72 – 60})$$
= Rs.$$({72 x 60} / {12})$$
= Rs. 360.
Question: 2
The true discount on a bill of Rs.720 is Rs.80. The banker’s discount is
(A) Rs. 70
(B) Rs. 80
(C) Rs. 90
(D) Rs.100
Ans: C
P.W. = Rs. (720 – 80) = Rs. 640.
S.I. on Rs. 640 = Rs. 80
S.I. on Rs. 720 = $$({80 / 640} × 720)$$ = Rs. 90.
∴ B.D. = Rs. 90.
Question: 3
The true discount on a bill of Rs.540 is Rs.90. The banker’s discount is
(A) Rs. 60
(B) Rs. 90
(C) Rs. 108
(D) Rs. 110
Ans: C
P.W. = Rs. (540 – 90) = Rs. 450.
∴ S.I. on Rs. 450 = Rs. 90.
∴ S.I. of Rs. 540 = Rs. $$({90 / 450} × 540)$$ =Rs. 108.
∴ B.D. = Rs. 108.
Question: 4
The banker’s discount on Rs.2400 at 12% p.a. is the same as true discount on Rs.2520 for the same time and at the same rate. The time is
(A) 2 months
(B) 3 months
(C) 4 months
(D) 5 months
Ans: D
S.I. on Rs.2400 = T.D. on Rs. 2520
∴ Rs. 2400 is the P.W. of Rs. 2520
i.e. Rs. 120 is S.I. on Rs. 2400 at 12%
∴ Time = $${100 × 120} / {2400 × 12}$$ = $${5} / {12}$$years = 5 months.
Question: 5
The banker’s discount on a certain sum due to 2 years hence is $${11}/{10}$$ of the true discount. The rate percent is
(A) 5%
(B) 10%
(C) 11%
(D) 12%
Ans: A
Let T.D. be Rs. 1. Then, B.D. = Rs. $${11}/{10}$$ = Rs. 1.10.
∴ Sum = Rs. $$({1.10 × 1} / {1.10 – 1})$$ = Rs. $$({110} / {10})$$ = Rs.11.
∴ S.I. on Rs. 11 for 2 years is Rs. 1.10.
∴ Rate = $$({100 × 1.10} /{11 × 2})%$$ = 5%.
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