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7.Profit and Loss
medium
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