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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%
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B
4123%
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C
5213%
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D
6623%
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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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