While selling,a businessman allows 40 % disco | vedclass

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Question

(C) Let the marked price of the article be $Rs. x$ and the cost price $(CP)$ be $Rs. 100$.According to the problem,the selling price $(SP)$ after a $4

Vedclass · Accepted Answer

$16 \frac{2}{3}$

Vedclass · Answer

(C) Let the marked price of the article be $Rs. x$ and the cost price $(CP)$ be $Rs. 100$.According to the problem,the selling price $(SP)$ after a $40 \%$ discount is:$SP = x - 0.40x = 0.60x$Given that there is a loss of $30 \%$,the $SP$ is also equal to $70 \%$ of the $CP$:$SP = 100 - 30 = 70$Equating the two expressions for $SP$:$0.60x = 70$$x = \frac{70}{0.60} = \frac{700}{6} = \frac{350}{3}$If the article is sold at the marked price $(x)$,the profit is:$Profit = SP - CP = \frac{350}{3} - 100 = \frac{350 - 300}{3} = \frac{50}{3} = 16 \frac{2}{3}$Since the $CP$ is $100$,the profit percentage is $16 \frac{2}{3} \%$.

While selling,a businessman allows $40 \%$ discount on the marked price and there is a loss of $30 \%$. If it is sold at the marked price,the profit percent will be:

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