Question:
A boy buys 9 apples for Rs 9.60 and sells them at 11 for Rs 12. Find his gain or loss percent.
Solution:
C.P of 9 apples $=$ Rs $9.60$
$\therefore$ C.P of 1 apple $=$ Rs $\frac{9.60}{9}=$ Rs $\frac{16}{15}$
S.P of 11 apples $=$ Rs 12
$\therefore$ S.P of 1 apple $=$ Rs $\frac{12}{11}$
Clearly, S.P of 1 apple $>$ C.P of 1 apple
So, we get profit on selling apples
Gain $\%=\left(\frac{\operatorname{gain} \times 100}{\text { C.P. }}\right)$
$=\left(\frac{\frac{12}{11}-\frac{16}{15}}{\frac{16}{15}}\right) \times 100$
$=\left(\frac{12 \times 15-16 \times 11}{15 \times 11}\right) \times \frac{15}{16} \times 100$
$=\left(\frac{180-176}{11 \times 16}\right) \times 100$
$=\left(\frac{4}{11 \times 16}\right) \times 100$
$=2 \frac{3}{11} \%$