Divyam bought an article with 15 % discount o | vedclass

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(B) Let the labelled price of the article be $Rs. \, a$.The cost price $(CP)$ of the article is $a 	imes (1 - 0.15) = 0.85a = \frac{17}{20}a$.The sel

Vedclass · Accepted Answer

$29 \frac{7}{17} \%$

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(B) Let the labelled price of the article be $Rs. \, a$.The cost price $(CP)$ of the article is $a 	imes (1 - 0.15) = 0.85a = \frac{17}{20}a$.The selling price $(SP)$ of the article is $a 	imes (1 + 0.10) = 1.10a = \frac{11}{10}a$.The profit earned is $SP - CP = \frac{11}{10}a - \frac{17}{20}a = \frac{22a - 17a}{20} = \frac{5a}{20}$.The profit percentage on the cost price is $\left( \frac{	ext{Profit}}{CP} ight) 	imes 100$.Profit percentage $= \left( \frac{5a/20}{17a/20} ight) 	imes 100 = \frac{5}{17} 	imes 100 = \frac{500}{17} \%$.Dividing $500$ by $17$,we get $29$ as the quotient and $7$ as the remainder.Thus,the profit percentage is $29 \frac{7}{17} \%$.

Divyam bought 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?

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