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 their marked price.

• A. $66\frac{2}{3}\%$
• B. $68\frac{2}{3}\%$
• C. $66\frac{1}{3}\%$
• D. $16\frac{2}{3}\%$

Answer 1

The correct option is A $66\frac{2}{3}\%$

Lets marked price of goods Rs 100 Rs
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

If article sell at market price Rs 100

Then profit $=100-60=40$ Rs.

So % of profit $=\frac{40}{60}\times 100=\frac{4000}{18}=\frac{200}{3}=66\frac{2}{3}$ %