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.

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%

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Guest · Answer 1 · 2019-07-08 22:09:59

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.

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