A shopkeeper sells one transistor for Rs., 840 at a gain of 20 % and another for Rs., 960 at a loss

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7.Profit and Loss

hard

A shopkeeper sells one transistor for $Rs.\, 840$ at a gain of $20 \%$ and another for $Rs.\, 960$ at a loss of $4 \% .$ His total gain or loss percent is

A

$5 \frac{15}{17} \%$ loss

B

$5 \frac{15}{17} \%$ gain

C

$6 \frac{2}{3} \%$ gain

D

$6 \frac{1}{2} \%$ Loss

Solution

$CP$ of $1^{\text {st }}$ item $=\frac{840}{1.2}=$ $Rs.\, 700$ [gain of $\left.20 \%\right]$

$CP$ of $2^{\text {nd }}$ item $=\frac{960}{0.96}=$ $Rs.$ $1000 \quad[$ loss of $4 \%]$

Total $C P=700+1000=$ $Rs.\,1700$

$SP =840+960= Rs .1800$

$\%$ profit $=\frac{100}{1700} \times 100=5 \frac{15}{17} \%$

Standard 13

Quantitative Aptitude

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