# Banker's Discount Questions for Bank PO, SO, Clerk Exams Pdf - 1

Question: 1

The banker’s discount and the true discount on a sum of money due 8 months hence are Rs.120 and Rs.110 respectively. Find the sum and the rate percent.

(A) \$\$13{7}/{11}\$\$%

(B) \$\$18{2}/{9}\$\$%

(C) \$\$18{5}/{11}\$\$%

(D) \$\$19{7}/{11}\$\$%

Ans: A

Sum = \$\$({B.D × T.D.} / {B.D - T.D})\$\$

= Rs. \$\$({120 × 110} / {120 - 110})\$\$ = Rs. 1320.

Since B.D. is S.I. on sum due,
So S.I. on Rs. 1320 for 8 months is Rs. 120.

∴ Rate = \$\$({100 × 120} / {1320 × {2}/{3}})\$\$ = \$\$13{7}/{11}\$\$%.

Question: 2

The banker’s discount on a bill due 4 months hence a 15% is Rs.420. The true discount is

(A) Rs. 320

(B) Rs. 360

(C) Rs. 400

(D) Rs. 480

Ans: C

T.D. = \$\${B.D × 100} / {100 + (R × T)}\$\$

= \$\${420 × 100} / {100 + (15× {1}/{3})\$\$

= Rs. \$\$({420 × 100} / {105})\$\$ = Rs. 400.

Question: 3

The banker’s discount and the true discount on a sum of money due 6 months hence are Rs.130 and Rs.120 respectively. Find the sum and the rate percent.

(A) \$\$16{2}/{3}\$\$%

(B) \$\$17{2}/{3}\$\$%

(C) \$\$18{2}/{3}\$\$%

(D) \$\$19{2}/{3}\$\$%

Ans: A

Sum = \$\${B. D × T.D.} /{B.D - T.D.}\$\$ = \$\$({130 × 120} / {130 - 120})\$\$ = \$\${130 × 120} / {10}\$\$ = Rs. 1560.

But Banker’s discount = S.I. on sum due.

∴ S.I. on Rs.1320 for 6 months = 130.

∴ Rate = \$\${100 × 130} / {1560 × {1}/{2}\$\$% = \$\${100}/{6}\$\$% = \$\$16{2}/{3}\$\$%.

Question: 4

The banker’s discount on Rs.1650 due a certain time hence is Rs.165. Find the true discount and the banker’s gain.

(A) Rs. 150

(B) Rs. 160

(C) Rs. 170

(D) Rs. 180

Ans: A

Sum = \$\${B.D × T.D.} / {B.D. - T.D.}\$\$ = \$\${B.D. × T.D.}/{B.G.}\$\$

∴ \$\${T.D.}/{B.G.}\$\$ = \$\${Sum} / {B.D.}\$\$ = \$\${1650} / {165}\$\$ = \$\${10}/{1}\$\$

Thus, if B.G. is Re 1, T.D. = Rs. 10.

If B.D. is Rs. 11, T.D. = Rs. 10.

If B.D. is Rs. 165,

T.D. = Rs. \$\$({10}/{11} × 165)\$\$ = Rs. 150.

Question: 5

The present worth of a sum due sometime hence is Rs.576 and the banker’s gain is Rs.16. The true discount is

(A) Rs. 36

(B) Rs. 48

(C) Rs. 72

(D) Rs. 96

Ans: D

T.D. = \$\$√ {P.W.} ×{B.G.}\$\$ = \$\$√{576} × {16}\$\$ = 96.

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