Question

A trader gives $25\%$ discount on his articles and still makes a profit of $25\%$. Find his profit per cent, if he sells his articles at $10\%$ discount.

Answer 1

Lets marked price of goods Rs. $100$
After getting $25\%$ discount selling price $=100-25=75$ Rs
After $25\%$ profit cost price$\frac{100}{100+gain}S.P=\frac{100}{100+25}75=60$ Rs
After $10\%$ discount market price $=100-10=90$ Rs
Profit $=90-60=30$ Rs
$\%$ of profit $=$ $\frac{30\times 100}{60}=50$ $\%$