Profit obtained on selling an article for Rs.,310 is equal to loss incurred on selling that article

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7.Profit and Loss

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Profit obtained on selling an article for $Rs.\,310$ is equal to the loss incurred on selling that article for $Rs.\, 230.$ What will be the loss percentage when selling price is $Rs.\, 180$?

A

$16 \frac{1}{3}$

B

$16 \frac{2}{3}$

C

$33 \frac{1}{3}$

D

$33 \frac{2}{3}$

Solution

Let Gain $=$ Loss $=x$

$310-230=2 x$

$2 x=80$

$x=40$

$\therefore C.P$ of article $=310-40=₹ 270$

$\therefore \operatorname{Loss} \%=\frac{270-180}{270} \times 100=33 \frac{1}{3} \%$

Standard 13

Quantitative Aptitude

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