Question

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

• A. $40\%$
• B. $50\%$
• C. $60\%$
• D. $70\%$

Answer 1

Answer: (B)

$50\%$

Let the marked price be $Rs100$

Then, Selling Price after $25$ % discount $=Rs75$
Given, Profit % $=\frac{S.P-C.P.}{C.P.}\times 100=25$ %

$=>\frac{75-C.P.}{C.P.}\times 100=25$

$=>75-C.P.=0.25C.P.$

$=>1.25C.P.=75$

$C.P.=Rs60$
And if Selling Price $=Rs90$ (that is at $10$ % discount ),

then, Profit % $=\frac{S.P-C.P.}{C.P.}\times 100$

$=\frac{90-60}{60}\times 100$

$=\frac{30}{60}\times 100=50$ %