Question

A trader allows a discount of 20% of his goods and still makes a profit of 25%. Find the profit percent made, if he sells his goods at marked price.

• A. 56.25%
• B. 58.25%
• C. 56.75%
• D. 56.20%

Answer 1

The correct option is A 56.25%

Lets market price $=Rs100$

Then selling price $=100-20=Rs80$

Profit $25\%$ (given)

$Profit=S.P.-C.P.$

$S.P.=C.P.+Profit$

$S.P.=C.P.+\frac{25}{100}C.P.=\frac{125}{100}C.P.$

$C.P.=\frac{100\times S.P.}{125}$

Hence cost price$(C.P.)$=$\frac{100\times 80}{125}=64Rs$

Profit after selling on market price$=100-64=36Rs$

of profit =$\frac{36\times 100}{64}=56.25$%