A person sells 36 apple per rupee and suffers a loss of 4 % . Find how many apple per rupees to be s

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7.Profit and Loss

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A person sells $36$ apple per rupee and suffers a loss of $4 \% .$ Find how many apple per rupees to be sold to have a gain of $8 \%$.

A

$32$

B

$16$

C

$4$

D

$15$

Solution

Here, $CP$ is same in both transactions $( CP )_{1}=( CP )_{2}$

$\frac{( SP )_{1}}{100- x }=\frac{( SP )_{2}}{100+ y }$ $[{ Where }\, x=4 \% \text { Loss }, y=8 \% \text { Gain }]$

$( SP )_{1}$ of $1$ apple $= Rs \cdot \frac{1}{36}$

$\Rightarrow \frac{\frac{1}{36}}{100-4}=\frac{( SP )_{2}}{100+8},( SP )_{2}=\frac{108}{96} \times \frac{1}{36}= Rs \cdot \frac{1}{32}$

Hence, in a rupee, the person can sell $32$ apples.

Standard 13

Quantitative Aptitude

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