Question
The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:
Answer: Option B
$$\eqalign{
& {\text{P}}{\text{.W}}{\text{.}} = Rs.\,\left( {540 - 90} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,450 \cr
& \therefore {\text{S}}{\text{.I}}{\text{.}}\,{\text{on}}\,Rs.\,450 = Rs.\,90 \cr
& {\text{S}}{\text{.I}}{\text{.}}\,{\text{on}}\,Rs.\,540 \cr
& = Rs.\,\left( {\frac{{90}}{{450}} \times 540} \right) \cr
& = Rs.\,108 \cr
& \therefore {\text{B}}{\text{.D}}. = Rs.\,108 \cr} $$
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$$\eqalign{
& {\text{P}}{\text{.W}}{\text{.}} = Rs.\,\left( {540 - 90} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,450 \cr
& \therefore {\text{S}}{\text{.I}}{\text{.}}\,{\text{on}}\,Rs.\,450 = Rs.\,90 \cr
& {\text{S}}{\text{.I}}{\text{.}}\,{\text{on}}\,Rs.\,540 \cr
& = Rs.\,\left( {\frac{{90}}{{450}} \times 540} \right) \cr
& = Rs.\,108 \cr
& \therefore {\text{B}}{\text{.D}}. = Rs.\,108 \cr} $$
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