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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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