A sells an article to B for ₹ 45,000 losing 1 | vedclass

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(C) Let the cost price of the article for $A$ be $₹ x$.Since $A$ sells it to $B$ at a loss of $10 \%$,the selling price is $x - 0.10x = 0.90x$.Given t

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$\frac{200}{9} \%$

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(C) Let the cost price of the article for $A$ be $₹ x$.Since $A$ sells it to $B$ at a loss of $10 \%$,the selling price is $x - 0.10x = 0.90x$.Given that $0.90x = 45000$,we find $x = \frac{45000}{0.90} = ₹ 50000$.$B$ sells the article to $C$ at a price that would have given $A$ a profit of $10 \%$. This selling price is $1.10 	imes 50000 = ₹ 55000$.$B$ bought the article for $₹ 45000$ and sold it for $₹ 55000$.Profit for $B = 55000 - 45000 = ₹ 10000$.Profit percentage for $B = \left( \frac{10000}{45000} ight) 	imes 100 \% = \left( \frac{10}{45} ight) 	imes 100 \% = \left( \frac{2}{9} ight) 	imes 100 \% = \frac{200}{9} \%$.

$A$ sells an article to $B$ for $₹ 45,000$ losing $10 \%$ in the transaction. $B$ sells it to $C$ at a price which would have given a profit of $10 \%$ to $A$. By what per cent does $B$ gain?

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