The true discount on a certain sum due 6 months hence at 15% is Rs. 240. What is the banker's discount on the same sum for the same time at the same rate?
A. Rs. 258
B. Rs. 278
C. Rs. 228
D. None of these
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & TD = {\text{Rs}}{\text{.}}\,240 \cr & T = 6\,{\text{months}}\, = \frac{1}{2}\,{\text{year}} \cr & R = 15\% \cr & TD = \frac{{BG \times 100}}{{TR}} \cr & \Rightarrow 240 = \frac{{BG \times 100}}{{\left( {\frac{1}{2} \times 15} \right)}} \cr & BG = \frac{{240 \times 15}}{{100 \times 2}} \cr & \,\,\,\,\,\,\,\,\,\,\, = \frac{{120 \times 15}}{{100}} \cr & \,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,18 \cr & BG = BD - TD \cr & \Rightarrow 18 = BD - 240 \cr & \Rightarrow BD = 18 + 240 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,258 \cr} $$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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