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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