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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
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B
Rs. 2200
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C
Rs. 2400
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D
Data inadequate
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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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