A sells a bicycle to B at a profit of 20 %. B | vedclass

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

Vedclass · Accepted Answer

$150$

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(D) Let the cost price of the bicycle for $A$ be $Rs. x$.$A$ sells it to $B$ at a profit of $20 \%$,so the selling price for $A$ (which is the cost price for $B$) is $x 	imes (1 + \frac{20}{100}) = x 	imes \frac{120}{100}$.$B$ sells it to $C$ at a profit of $25 \%$,so the selling price for $B$ (which is the cost price for $C$) is $(x 	imes \frac{120}{100}) 	imes (1 + \frac{25}{100}) = x 	imes \frac{120}{100} 	imes \frac{125}{100}$.Given that $C$ pays $Rs. 225$,we have:$x 	imes \frac{120}{100} 	imes \frac{125}{100} = 225$$x 	imes \frac{6}{5} 	imes \frac{5}{4} = 225$$x 	imes \frac{30}{20} = 225$$x 	imes 1.5 = 225$$x = \frac{225}{1.5} = 150$Therefore,the cost price for $A$ is $Rs. 150$.

$A$ sells a bicycle to $B$ at a profit of $20 \%.$ $B$ sells it to $C$ at a profit of $25 \%.$ If $C$ pays $Rs. 225$ for it,the cost price of the bicycle for $A$ is (in $Rs.$)

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