An article is sold at a certain fixed price. By selling it at frac{2}{3} of that price, one loses 10

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7.Profit and Loss

hard

An article is sold at a certain fixed price. By selling it at $\frac{2}{3}$ of that price, one loses $10 \%$. The gain percent on selling it at the original price is

$20$

$33 \frac{1}{3}$

$35$

$40$

Let, the selling price of article be $₹$ [Here, $10 \%$ loss on selling article at $\frac{2 x}{3}$ price.]

Let, $C \cdot P .=y$

Then, after $10 \%$ loss the selling price $=\frac{90 y}{100}$

$\therefore \frac{90 y}{100}=\frac{2}{3} x$

$\Rightarrow y=\frac{20}{27} x$

$\therefore \quad C.P. =\frac{20}{27} x$

$\therefore$ The gain per cent on selling it at the original price $=\frac{x-\frac{20}{27} x}{\frac{20}{27} x} \times 100 \%$

$=\frac{\frac{7 x}{27}}{\frac{20 x}{27}} \times 100 \%=35 \%$

Standard 13

Quantitative Aptitude

hard

medium

hard

medium

hard