A sells an article to B at a profit of 20 % a | vedclass

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(B) Let the cost price for $A$ be $x$.$A$ sells the article to $B$ at a profit of $20 \%$,so the selling price for $A$ (which is the cost price for $B

Vedclass · Accepted Answer

$500$

Vedclass · Answer

(B) Let the cost price for $A$ be $x$.$A$ sells the article to $B$ at a profit of $20 \%$,so the selling price for $A$ (which is the cost price for $B$) is $x 	imes (1 + 0.20) = 1.2x$.$B$ sells the article to $C$ at a loss of $10 \%$,so the selling price for $B$ (which is the cost price for $C$) is $1.2x 	imes (1 - 0.10) = 1.2x 	imes 0.9 = 1.08x$.Given that $C$ pays $Rs. 540$,we have $1.08x = 540$.Solving for $x$: $x = \frac{540}{1.08} = 500$.Thus,$A$ bought the article for $Rs. 500$.

$A$ sells an article to $B$ at a profit of $20 \%$ and $B$ sells it to $C$ at a loss of $10 \%$. If $C$ pays $Rs. 540$ for it,at what price did $A$ buy?

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