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A person buys an article for Rs. p and sells it for Rs. q thereby gaining r% . The selling price in terms of cost price may be written as –

a) $$\frac{{{\text{pr}}}}{{100}}$$
b) $$\frac{{{\text{r}}\left( {100 + {\text{p}}} \right)}}{{100}}$$
c) $$\frac{{{\text{p}}\left( {100 + {\text{r}}} \right)}}{{100}}$$
d) $$\frac{{{\text{p}}\left( {100 – {\text{r}}} \right)}}{{100}}$$

Answer: c
Explanation:
$$\eqalign{ & {\text{C}}{\text{.P}}{\text{.}} = {\text{Rs}}{\text{. p}} \cr & {\text{Gain}} = {\text{r}}\% \cr & {\text{S}}{\text{.P}}{\text{.}} = {\text{q}} \cr & = \left( {100 + {\text{r}}} \right)\% {\text{ of Rs}}{\text{. p}} \cr & = \frac{{{\text{p}}\left( {100 + {\text{r}}} \right)}}{{100}} \cr} $$

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