A shopkeeper marks his goods at 25 % above his cost price and allows customers a discount of 12 frac

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7.Profit and Loss

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A shopkeeper marks his goods at $25 \%$ above his cost price and allows customers a discount of $12 \frac{1}{2}\%$ for cash. Find his $\%$ profit?

A

$12 \frac{4}{5}$

B

$9 \frac{3}{7}$

C

$7 \frac{5}{8}$

D

$9 \frac{3}{8}$

Solution

Let us assume $CP$ be $Rs. 100$

$MP$ (after $25\%$ above $CP$) $=$ $Rs. 125$

Discount $=12 \frac{1}{2} \%$ of $125= Rs .15 \frac{5}{8}$

Reduced price $=$ $Rs.$ $\left[125-15 \frac{5}{8}\right]=$ $Rs.$ $109 \frac{3}{8}$

$\Rightarrow \quad \%$ profit $=\frac{109 \frac{3}{8}-100}{100} \times 100=9 \frac{3}{8} \%$

Standard 13

Quantitative Aptitude

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