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7.Profit and Loss
medium
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 $Rs.$)
A
$1000,1500$
B
$5000,2000$
C
$3000,2000$
D
$3000,5000$
Solution
Let, the $C.P.$ of items $A$ and $B$ be $₹x$ and $₹y,$ respectively.
Now, according to the question,
$10 \%$ of $x=15 \%$ of $y$
$\Rightarrow \frac{x}{y}=\frac{15}{10}=\frac{3}{2} \Leftrightarrow x: y=3: 2$
Clearly, the required C.P. of $A$ and $B$ will be $₹ 3000$ and $₹ 2000,$ respectively.
Standard 13
Quantitative Aptitude
