A fruit-seller buys some oranges and by selling 40 % of them he fealises cost price of all oranges.

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7.Profit and Loss

medium

A fruit-seller buys some oranges and by selling $40 \%$ of them he fealises the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells $80 \%$ of the remaining oranges at half the previous rate of profit. The rest of the oranges being rotten are thrown away. The overall percentage of profit is

A

$80$

B

$84$

C

$94$

D

$96$

Solution

Let the fruit seller buys 100 oranges for $₹ 100$.

$S.P.$ of $40$ oranges $=₹ 100$

$P=100-40=₹ 60$

$P \%=60 / 40 \times 100=150 \%$

He sells $80 \%$ of remaining oranges at half the profit

$S.P.$ of $48$ oranges $=48+75 \%(48)=₹ 84$

Total $S.P.$ $=100+84=184$

Profit $=184-100=84$

$\%$ profit $=84 \%$

Standard 13

Quantitative Aptitude

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