A sells a good to B at a profit of 10 % and B | vedclass

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(C) Let the cost price for $A$ be $100$.$A$ sells it to $B$ at a profit of $10 \%$,so the cost price for $B$ is $100 + 10 = 110$.$B$ sells it to $C$ a

Vedclass · Accepted Answer

$32 \%$

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(C) Let the cost price for $A$ be $100$.$A$ sells it to $B$ at a profit of $10 \%$,so the cost price for $B$ is $100 + 10 = 110$.$B$ sells it to $C$ at a profit of $20 \%$. The profit for $B$ is $20 \%$ of $110$,which is $\frac{20}{100} 	imes 110 = 22$.Thus,the selling price for $C$ is $110 + 22 = 132$.The total profit is $132 - 100 = 32$.Alternatively,using the formula for successive percentage change: $	ext{Resultant profit } \% = \left(m + n + \frac{mn}{100}ight) \%$.Here,$m = 10$ and $n = 20$.Resultant profit $\% = \left(10 + 20 + \frac{10 	imes 20}{100}ight) \% = (30 + 2) \% = 32 \%$.

$A$ sells a good to $B$ at a profit of $10 \%$ and $B$ sells it to $C$ at a profit of $20 \%$. Find out the resultant profit percentage.

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