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7.Profit and Loss
hard
A fruit vendor buys $10$ bananas for $Rs.\, 14$ and sells them at $12$ for $Rs.\,15$. Find his percentage gain or loss.
A
$10 \frac{5}{7} \%$ loss
B
$10 \frac{5}{9} \%$ gain
C
$9 \%$ gain
D
None of these
Solution

$\%$ gain or $\operatorname{loss}=\left(\frac{x w}{z y}-1\right) \times 100 \%$
$=\left(\frac{10 \times 15}{12 \times 14}-1\right) \times 100 \%$
$=\left(\frac{150}{168}-1\right) \times 100 \%$
$=-\frac{18}{168} \times 100 \%=-10 \frac{5}{7} \%$
since the sign is $-ve,$ since there is a loss of $10 \frac{5}{7} \%$
Standard 13
Quantitative Aptitude
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