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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