A sells a suitcase to B at 10 % profit. B cells it to C at 30 % profit. If C pays Rs., 2,860 for it,

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7.Profit and Loss

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A sells a suitcase to $B$ at $10 \%$ profit. $B$ cells it to $C$ at $30 \%$ profit. If $C$ pays $Rs.\, 2,860$ for it, then the price at which A bought it is (in $Rs.$)

A

$1000$

B

$1600$

C

$2000$

D

$2500$

Solution

Let, the $C.P.$ of the suitcase for $A$ be $₹x.$

Now, according to the question,

$x \times \frac{110}{100} \times \frac{130}{100}=2860$

$\Rightarrow \quad x \frac{2860 \times 100 \times 100}{100 \times 130}=₹ 2000$

Standard 13

Quantitative Aptitude

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