Question
If the discount on Rs. 498 at 5% simple interest is Rs.18, when is the sum due?
Answer: Option D
F = Rs. 498
TD = Rs. 18
PW = F - TD = 498 - 18 = Rs. 480
R = 5%
$$\eqalign{
& TD = \frac{{PW \times TR}}{{100}} \cr
& \Rightarrow 18 = \frac{{480 \times T \times 5}}{{100}} \cr
& \Rightarrow 18 = 24 \times T{\text{ }} \cr
& \Rightarrow {\text{ }}T{\text{ }} = \frac{{18}}{{24}} = \frac{3}{4}{\text{ years}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{12 \times 3}}{4}{\text{ months}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 9 months}} \cr} $$
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F = Rs. 498
TD = Rs. 18
PW = F - TD = 498 - 18 = Rs. 480
R = 5%
$$\eqalign{
& TD = \frac{{PW \times TR}}{{100}} \cr
& \Rightarrow 18 = \frac{{480 \times T \times 5}}{{100}} \cr
& \Rightarrow 18 = 24 \times T{\text{ }} \cr
& \Rightarrow {\text{ }}T{\text{ }} = \frac{{18}}{{24}} = \frac{3}{4}{\text{ years}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{12 \times 3}}{4}{\text{ months}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 9 months}} \cr} $$
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