Question
The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker's gain is:
Answer: Option D
$$\eqalign{
& BG = \frac{{{{(TD)}^2}}}{{PW}} \cr
& \,\,\,\,\,\,\,\,\,\,\, = \frac{{{{(340)}^2}}}{{3400}} \cr
& \,\,\,\,\,\,\,\,\,\,\, = \frac{{340 \times 340}}{{3400}} \cr
& \,\,\,\,\,\,\,\,\,\,\, = \frac{{340}}{{10}} \cr
& \,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,34 \cr} $$
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$$\eqalign{
& BG = \frac{{{{(TD)}^2}}}{{PW}} \cr
& \,\,\,\,\,\,\,\,\,\,\, = \frac{{{{(340)}^2}}}{{3400}} \cr
& \,\,\,\,\,\,\,\,\,\,\, = \frac{{340 \times 340}}{{3400}} \cr
& \,\,\,\,\,\,\,\,\,\,\, = \frac{{340}}{{10}} \cr
& \,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,34 \cr} $$
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