Gujarati
Hindi
7.Profit and Loss
hard

A cloth dealer professes to sell cotton at cost price, but uses a meter having a length of $80\, cm$ only and charges for the meter. Find his gain percent.

A

$25$

B

$30$

C

$40$

D

None of these

Solution

True measure $=100 cm$

False measure $=80 cm .$ Also, $x=0$

$\therefore$ Overall gain $\%$ is given by

$\frac{100+g}{100+x}=\frac{\text { True measure }}{\text { False measure }}$

$\Rightarrow \frac{100+g}{100}=\frac{100}{80} \Rightarrow 100+g=\frac{100 \times 100}{80}$

$\Rightarrow g=\frac{1000}{8}-100=25 \%$

Standard 13
Quantitative Aptitude

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