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 rate percent.
A. $$\frac{{120}}{{11}}\,\% $$
B. $$\frac{{130}}{{11}}\,\% $$
C. $$\frac{{140}}{{11}}\,\% $$
D. $$\frac{{150}}{{11}}\,\% $$
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Sum}} = \frac{{B.D. \times T.D.}}{{B.D. - T.D.}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,\frac{{120 \times 110}}{{120 - 110}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,1320 \cr} $$Since B.D. is S.I. on sum due, so S.I. on Rs. 1320 for 8 months is Rs. 120.
$$\eqalign{ & {\text{Rate}} = \frac{{100 \times 120}}{{1320 \times \frac{2}{3}}}\,\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{150}}{{11}}\,\% \cr} $$
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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