A trader sells rice at a profit of 5 % and uses a weight which is 25 % less. total percentage gain.

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7.Profit and Loss

medium

A trader sells rice at a profit of $5 \%$ and uses a weight which is $25 \%$ less. Find the total percentage gain.

A

$20$

B

$30$

C

$40$

D

$50$

Solution

Let the cost price of rice be $₹ x / k g$.

$\therefore$ Selling price of rice $=₹\left(\frac{105 x}{100}\right)$ per $\frac{75}{100} kg$

i.e. $S.P. =₹\left(\frac{105 x}{100} \times \frac{100}{75}\right) / k g$

$=₹ \frac{7 x}{5} / kg$

$\therefore \quad \%$ profit $=\frac{\frac{7 x}{5}-x}{x} \times 100=\frac{200}{5}=40 \%$

Standard 13

Quantitative Aptitude

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