Question
The banker's discount on a bill due 6 months hence at 16% per annum is Rs. 216. The true discount is = ?
Answer: Option D
$$\eqalign{
& \therefore {\text{True discount is }} \cr
& = \frac{{{\text{Banker's discount}} \times {\text{100}}}}{{100 + {\text{rate}} \times {\text{time}}}} \cr
& = \frac{{216 \times 100}}{{100 + 16 \times \frac{6}{{12}}}} \cr
& = \frac{{21600}}{{108}} \cr
& = {\text{Rs}}{\text{. 200}} \cr} $$
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$$\eqalign{
& \therefore {\text{True discount is }} \cr
& = \frac{{{\text{Banker's discount}} \times {\text{100}}}}{{100 + {\text{rate}} \times {\text{time}}}} \cr
& = \frac{{216 \times 100}}{{100 + 16 \times \frac{6}{{12}}}} \cr
& = \frac{{21600}}{{108}} \cr
& = {\text{Rs}}{\text{. 200}} \cr} $$
Was this answer helpful ?
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