A shopkeeper gains 17% after allowing a discount of 10% on the marked

1.	A shopkeeper gains 17% after allowing a discount of 10% on the marked price of an article. Find his profit percent if the articles are sold at market price allowing no discount.1). 27%2). 37%3). 23%4). 30%
Answer» For SIMPLICITY assuming the market price to be Rs 100. So on one article by selling at 90% i.e., at SP of Rs 90, shopkeeper gains 17%. LET’s assume the cost of article as C. So, $(gain\ PERCENT = \left( {\frac{{SP - CP}}{{CP}}} \right) \times 100)$ $(\Rightarrow 17 = \left( {\frac{{90-C}}{C}} \right) \times 100)$ C = Rs 76.92 Now if SP would have been Rs 100. $(\begin{array}{l}Gain\ percent = \frac{{SP - CP}}{{CP}} \times 100\\Gain\ percent = \left( {\frac{{100-76.92}}{{76.92}}} \right) \times 100 = 30\%\end{array})$

A shopkeeper gains 17% after allowing a discount of 10% on the marked price of an article. Find his profit percent if the articles are sold at market price allowing no discount.1). 27%2). 37%3). 23%4). 30%

Answer»

For SIMPLICITY assuming the market price to be Rs 100. So on one article by selling at 90% i.e., at SP of Rs 90, shopkeeper gains 17%. LET’s assume the cost of article as C.

So, $(gain\ PERCENT = \left( {\frac{{SP - CP}}{{CP}}} \right) \times 100)$

$(\Rightarrow 17 = \left( {\frac{{90-C}}{C}} \right) \times 100)$

C = Rs 76.92

Now if SP would have been Rs 100.

$(\begin{array}{l}Gain\ percent = \frac{{SP - CP}}{{CP}} \times 100\\Gain\ percent = \left( {\frac{{100-76.92}}{{76.92}}} \right) \times 100 = 30\%\end{array})$

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