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…

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.

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