A tradesman marks his goods 30 % more than cost price. If he allows a discount of 6 frac{1}{4} % the

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7.Profit and Loss

easy

A tradesman marks his goods $30 \%$ more than the cost price. If he allows a discount of $6 \frac{1}{4} \%$ then his gain percent is

A

$23 \frac{3}{4}$

B

$22$

C

$21 \frac{7}{8}$

D

$30$

Solution

Let, the $C.P.$ of the article be $₹ 100$.

$\therefore \quad$ Marked price $=₹ 130$

$\Rightarrow$ Selling price $=\frac{130 \times\left(100-\frac{25}{4}\right)}{100}=\frac{130 \times 375}{400}$

$=₹ \frac{975}{8}=₹\left(121 \frac{7}{8}\right)$

$\therefore \quad \operatorname{Gain} \%=\left(121 \frac{7}{8}-100\right)=21 \frac{7}{8} \%$

Standard 13

Quantitative Aptitude

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