Question

# The profit earned by selling an article for Rs. $$900$$ is double the loss incurred when the same article is sold for Rs. $$450$$. At what price should the article be sold to make $$25$$% profit?

A
Rs. 750
B
Rs. 800
C
Rs. 600
D
Rs. 900

Solution

## The correct option is A Rs. $$750$$Let the C.P. be Rs. $$x$$. Then, $$900 - x = 2(x - 450)$$$$\Rightarrow 900-x=2x-900$$$$\Rightarrow 3x=1800$$$$\Rightarrow x=600$$i.e., C.P. $$=$$ Rs. $$600$$, Profit $$= 25$$ $$\%$$$$\therefore$$ S.P. of the article $$=$$ Rs. $$\left (\dfrac {600\times 125}{100}\right )=$$ Rs. $$750$$.Mathematics

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