A man buys 100, kg of sugar for Rs., 2400 . He sold 1 / 4 th of stock at a loss of 5 % . At what per

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7.Profit and Loss

medium

A man buys $100\, kg$ of sugar for $Rs.\, 2400 .$ He sold $1 / 4$ th of the stock at a loss of $5 \% .$ At what per cent profit should he sell the remaining stock so as to make an overall profit of $20 \%$ on the whole transaction? (in $\%$)

A

$25$

B

$27 \frac{1}{3}$

C

$28$

D

$28 \frac{1}{3}$

Solution

Given $x=-5, y=+20, m=1 / 4$

The required profit percentage on the remaining stock

$\frac{y-x m}{1-m} \%=\frac{20+5 / 4}{1-1 / 4}=\frac{85 / 4}{3 / 4}=\frac{85}{3}=28 \frac{1}{3} \%$

Standard 13

Quantitative Aptitude

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