A man purchases some oranges at rate of 3 for Rs.,40 and same quantity at 5 for Rs., 60. If he sells

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7.Profit and Loss

medium

A man purchases some oranges at the rate of $3$ for $Rs.\,40$ and the same quantity at $5$ for $Rs.\, 60.$ If he sells all the oranges at the rate of $3$ for $Rs.\, 50,$ find his gain or loss percent (to the nearest integer).

A

$31 \%$ loss

B

$31 \%$ profit

C

$34 \%$ loss

D

$32 \%$ profit

Solution

$1$st variety of oranges at $3$ for $₹ 40$ $\times 5 \Rightarrow 15$ for $₹ 220$

$2$nd variety of oranges at $5$ for $₹ 60\} \times 3 \Rightarrow 15$ for $₹ 180$.

Total $30$ oranges $C . P .=₹ 380$.

$C.P.$ of $3$ oranges $=₹ 38$ Given $S.P.$ of $3$ oranges $=₹ 50$.

Profit $\%=\frac{50-38}{38} \times 100$

$=\frac{12}{38} \times 00$

$=31 \%$

Standard 13

Quantitative Aptitude

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