# 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. 15

B. 20

C. 18

D. 13

**Answer: Option A **

__Solution(By Examveda Team)__

$$\eqalign{
& {\text{Sum}} = \frac{{B.D. \times T.D.}}{{B.D. - T.D.}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{B.D. \times T.D.}}{{B.G.}} \cr
& \frac{{T.D.}}{{B.G.}} = \frac{{{\text{Sum}}}}{{B.D.}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{1650}}{{165}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10 \cr} $$Thus, if B.G. is Rs. 1, T.D. = Rs. 10

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

If B.D. is Rs. 165,

$$\eqalign{ & T.D. = {\text{Rs}}{\text{.}}\,\frac{{10}}{{11}} \times 165 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,150 \cr} $$

And, B.G. = Rs. (165 - 150) = Rs. 15

Related Questions on Bankers Discount

**The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
**

A. Rs. 400

B. Rs. 360

C. Rs. 480

D. Rs. 320

A. 3 months

B. 4 months

C. 6 months

D. 8 months

A. Rs. 480

B. Rs. 520

C. Rs. 600

D. Rs. 960

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