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- Quantitative Aptitude
Divyam bougth an article with $15 \%$ discount on the labelled price. He sold the article with $10 \%$ profit on the labelled price. What was his percent profit on the price he bought?
$28 \frac{7}{17}$
$29 \frac{7}{17}$
$29 \frac{5}{17}$
Data inadequate
Solution
Let the labelled price of article be $Rs.\, a$
$CP$ of article $= Rs . a \left(\frac{100-15}{100}\right)$
$=$ $Rs.$ $\left[\frac{85}{100}\right]$ $a$ or $Rs.$ $\frac{17}{20}a$
$SP$ of article $=$ $Rs$. $a$ $\left(\frac{100+10}{100}\right)$
profit$=\operatorname{Rs}\left[\frac{110}{100}\right]$ $a$ or $Rs.$ $\frac{11}{10} a$
Profit $=$ Rs. $\left[\frac{11}{10} a-\frac{17}{20} a\right]=$ Rs. $\frac{5 a}{20}$
$\%$ profit $=\frac{\frac{5 a}{20}}{\frac{17 a}{20}} \times 100=\frac{5}{17} \times 100=29 \frac{7}{17} \%$
