Two items A and B are sold at a profit of 10 | vedclass

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(C) Let the cost price $(C.P.)$ of items $A$ and $B$ be $₹x$ and $₹y,$ respectively.According to the problem,the profit amount is the same for both it

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$3000, 2000$

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(C) Let the cost price $(C.P.)$ of items $A$ and $B$ be $₹x$ and $₹y,$ respectively.According to the problem,the profit amount is the same for both items.Profit on $A = 10 \% 	ext{ of } x = 0.10x$Profit on $B = 15 \% 	ext{ of } y = 0.15y$Since the profits are equal,we have $0.10x = 0.15y$.Dividing both sides by $0.05$,we get $2x = 3y$,which implies $\frac{x}{y} = \frac{3}{2}$.Thus,the ratio of the cost prices $x:y$ is $3:2$.Checking the options,for option $C$,the ratio is $3000:2000 = 3:2$.Therefore,the cost prices of $A$ and $B$ are $₹3000$ and $₹2000$ respectively.

Two items $A$ and $B$ are sold at a profit of $10 \%$ and $15 \%,$ respectively. If the amount of profit received is the same,then the cost price of $A$ and $B$ may be (in $Rs.$)

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