100+ Bankers Discount Questions and Answers for Bank Exams - 1

Question: 1

The banker’s discount on a sum of money for $$1{1}/{2}$$ years is Rs.837 and the true discount on the same sum for 2 years is Rs.900. The rate percent is

(A) 10%

(B) 11%

(C) 12%

(D) 13%

Ans: C

Given B.D. for $$1{1}/{2}$$ years = Rs. 837.

∴ B.D. for 2 years = Rs. 837 × $${2}/{3}$$ × 2 = Rs. 1116

T.D. for 2 years = 900.

Sum = $${B.D. × T.D.} / {B.D. - T.D.}$$ =$${1116 × 900}/{1116 - 900}$$ = $${1116 × 900}/{216}$$ = Rs. 4650.

∴ Rs. 1116 is S.I. on Rs. 4650

∴ Rate = $$({1116 × 100}/{4650 × 2})$$ = 12%.

Question: 2

The banker’s discount on a sum of money for $$1{1}/{2}$$ years is Rs.558 and the true discount on the same sum for 2 years is Rs.600. The rate percent is

(A) 12%

(B) 14%

(C) 16%

(D) 18%

Ans: A

B.D. for $${3}/{2}$$ years = Rs.558

B.D. for 2 years = Rs. $$(558 × {2}/{3} × 2)$$ = Rs. 744.

T.D. for 2 years = Rs. 600.

∴ Sum = $${B.D. × T.D.} / {B.D. - T.D.}$$ = Rs. $$({744 × 600} / {144})$$ = Rs. 3100.

Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.

∴ Rate = $$({100 × 744}/{3100 × 2})$$% = 12%.

Question: 3

The banker’s gain on a certain sum due $$1{1}/{2}$$ years hence is $${3}/{25}$$ of the banker’s discount. The rate percent is

(A) $$1{1}/{2}$$

(B) $$5{1}/{5}$$

(C) $$9{1}/{9}$$

(D) $$9{2}/{3}$$

Ans: C

Let, B.D. = Rs. 1. Then, B.G. = Rs. $${3}/{25}$$.

∴ T.D. = (B.D. – B.G.) = Rs. $$(1 – {3}/{25})$$ = Rs. $${22}/{25}$$.

Sum = $$({1 × 22/25} /{1 - 22/25})$$ = $${22}/{3}$$.

S.I. on Rs. $${22}/{3}$$ for $$1{1}/{2}$$ years is Rs. 1.

∴ Rate = $$({100 × 1} /{22/3 × 3/2})$$% = $$9{1}/{9}$$%.

Question: 4

The present worth of a bill due certain time hence is Rs.1300 and the true discount on the bill is Rs. 130. Find the banker’s discount and the banker’s gain.

(A) Rs. 12

(B) Rs. 13

(C) Rs. 14

(D) Rs. 16

Ans: B

B.G. = $${(T.D.)^2}/{P.W.}$$ = Rs. $${(130)^2}/{1300}$$ = Rs. 13.

∴ B.D. = T.D. + B.G. = 130 + 13 = Rs. 143.

∴ Banker’s discount = Rs. 143.

∴ Banker’s gain = Rs. 13.

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