Question

A trader gives a 25% discount on his articles and still makes a profit of 25%. Find his profit percent, if he sells his articles at their marked price.

• A. $32\frac{1}{3}$%
• B. $41\frac{2}{3}$%
• C. $52\frac{1}{3}$%
• D. $66\frac{2}{3}$%

Answer 1

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

Let the marked price be $Rs100$
Then, Selling Price after $25$ % discount $=Rs75$
Given, Profit % $=25$%

$\Rightarrow \frac{S.P-C.P.}{C.P.}\times 100=25$ %

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

$\Rightarrow 75-C.P.=0.25\times C.P.$

$\Rightarrow 1.25\times C.P.=75$

$\Rightarrow C.P.=\frac{75}{1.25}$

$\Rightarrow C.P.=Rs.60$
And if Selling Price $=Rs100$ (that is at marked price discount ),

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

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

$=\frac{40}{60}\times 100$

$=66\frac{2}{3}$ %

Hence option D is correct.