Question

# The percentage profit earned by selling an article for Rs. $$1920$$ is equal to the percentage loss incurred by selling the same article for Rs. $$1280$$. At what price should the article be sold to make $$25$$% profit?

A
Rs. 2000
B
Rs. 2200
C
Rs. 2400
D

Solution

## The correct option is C Rs. $$2000$$Let C.P. be $$Rs. x$$.Then, $$\dfrac {1920 - x}{x} \times 100 = \dfrac {x - 1280}{x}\times 100$$$$\Rightarrow 1920 - x = x - 1280$$$$\Rightarrow 2x = 3200$$$$\Rightarrow x = 1600$$$$\therefore$$ Required $$S.P. = 125$$% of $$Rs. 1600 = Rs. \left (\dfrac {125}{100}\times 1600\right ) = Rs 2000$$.Mathematics

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