A fruit-seller buys x guavas for Rs., y and sells y guavas for Rs., x . If x>y, then he made

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7.Profit and Loss

easy

A fruit-seller buys $x$ guavas for $Rs.\, y$ and sells $y$ guavas for $Rs.\, x .$ If $x>y,$ then he made

A

$\frac{x^{2}-y^{2}}{x y} \% \operatorname{loss}$

B

$\frac{x^{2}-y^{2}}{x y} \%$ gain

C

$\frac{x^{2}-y^{2}}{y^{2}} \% \operatorname{loss}$

D

$\frac{x^{2}-y^{2}}{y^{2}} \times 100 \%$ gain

Solution

Let, the seller buy $x y$ guavas.

$\therefore$ $C.P.$ of $x y$ guavas $=x y \times \frac{y}{x}=y^{2}$

S.P. of $x y$ guavas $=x y \times \frac{x}{y}=x^{2}$

$\therefore$ Gain $=x^{2}-y^{2}(\because x>y)$

$\operatorname{Gain} \%=\frac{x^{2}-y^{2}}{y^{2}} \times 100$

Standard 13

Quantitative Aptitude

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