A sells an article to B at a gain of 20 %,B s | vedclass

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(A) Let the cost price for $A$ be $x$.$A$ sells to $B$ at $20 \%$ gain,so $B$ buys it for $x 	imes (1 + \frac{20}{100}) = x 	imes \frac{120}{100} =

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$20$

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(A) Let the cost price for $A$ be $x$.$A$ sells to $B$ at $20 \%$ gain,so $B$ buys it for $x 	imes (1 + \frac{20}{100}) = x 	imes \frac{120}{100} = 1.2x$.$B$ sells to $C$ at $10 \%$ gain,so $C$ buys it for $1.2x 	imes (1 + \frac{10}{100}) = 1.2x 	imes 1.1 = 1.32x$.$C$ sells to $D$ at $12 \frac{1}{2} \%$ gain,which is $12.5 \%$. So $D$ buys it for $1.32x 	imes (1 + \frac{12.5}{100}) = 1.32x 	imes 1.125 = 1.485x$.Given that $D$ pays $Rs. 29.70$,we have $1.485x = 29.70$.$x = \frac{29.70}{1.485} = 20$.Therefore,the cost price for $A$ is $Rs. 20$.

$A$ sells an article to $B$ at a gain of $20 \%$,$B$ sells it to $C$ at a gain of $10 \%$,and $C$ sells it to $D$ at a gain of $12 \frac{1}{2} \%$. If $D$ pays $Rs. 29.70$,what was the cost price for $A$? (in $Rs.$)

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