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
3213%
B
4123%
C
5213%
D
6623%

Solution

## The correct option is D $$\displaystyle 66\frac{2}{3}$$%Let the marked price be $$Rs 100$$ Then, Selling Price after $$25$$ % discount  $$= Rs 75$$Given,  Profit % $$=25$$%$$\Rightarrow \dfrac {S.P - C.P.}{C.P.} \times 100 = 25$$ %  $$\Rightarrow \dfrac {75- C.P.}{C.P.} \times 100 = 25$$  $$\Rightarrow 75 - C.P. = 0.25 \times C.P.$$$$\Rightarrow 1.25 \times C.P. = 75$$$$\Rightarrow C.P. = \dfrac {75}{1.25}$$$$\Rightarrow C.P. = Rs. \,60$$And if Selling Price $$= Rs 100$$ (that is at marked price discount ), then, Profit % $$= \dfrac {S.P - C.P.}{C.P.} \times 100$$$$=\dfrac {100- 60}{60} \times 100$$$$= \dfrac {40}{60} \times 100$$$$= 66 \dfrac {2}{3}$$  %Hence option D is correct.Mathematics

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