The marked price of an article is Rs. 5000. D | vedclass

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(A) Let the marked price $(M.P)$ be $Rs. 5000$. Mr. $X$ bought the article at a discounted price,which becomes his cost price $(C.P)$. He sold the art

Vedclass · Accepted Answer

$10 \%$

Vedclass · Answer

(A) Let the marked price $(M.P)$ be $Rs. 5000$. Mr. $X$ bought the article at a discounted price,which becomes his cost price $(C.P)$. He sold the article at $Rs. 5000$,which is the selling price $(S.P)$. The profit percentage is $11 \frac{1}{9} \% = \frac{100}{9} \% = \frac{1}{9}$. We know that $Profit = S.P - C.P$,and $Profit \% = \frac{S.P - C.P}{C.P} 	imes 100$. Given $Profit \% = \frac{1}{9}$,we have $\frac{S.P}{C.P} - 1 = \frac{1}{9}$,so $\frac{S.P}{C.P} = 1 + \frac{1}{9} = \frac{10}{9}$. Since $S.P = 5000$,then $C.P = 5000 	imes \frac{9}{10} = 4500$. The discount is the difference between $M.P$ and $C.P$: $Discount = 5000 - 4500 = 500$. Discount percentage $= \frac{Discount}{M.P} 	imes 100 = \frac{500}{5000} 	imes 100 = 10 \%$. Thus,the discount percentage allowed was $10 \%$.

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