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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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