Anil bought an item with 12 frac{1}{2} % discount on labellea price. He sold item with 17 frac{1}{2}

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7.Profit and Loss

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Anil bought an item with $12 \frac{1}{2} \%$ discount on the labellea price. He sold the item with $17 \frac{1}{2} \%$ profit on the labelled price. What was, his percent profit on the price he bought?

A

$35$

B

$34 \frac{1}{7}$

C

$34 \frac{2}{7}$

D

$35 \frac{2}{7}$

Solution

Let the labelled price of article be $Rs\, y.$

$CP$ of article $= y \left(\frac{100-12.5}{100}\right)= Rs \cdot \frac{7}{8} y$

$SP$ of article $=y\left(\frac{100+17.5}{100}\right)=$ Rs. $\frac{117.5}{100} y$ or $=$ Rs. $\frac{47}{40} y$

Profit $=$ $Rs.$ $\left[\frac{47}{40} y-\frac{7}{8} y\right]=$ Rs. $\frac{12}{40} y$

$\%$ profit $=\frac{\frac{12}{40} y }{\frac{7}{8} y } \times 100=\frac{12}{35} \times 100=34 \frac{2}{7} \%$

Standard 13

Quantitative Aptitude

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