Question

A boy buys 9 apples for Rs 9.60 and sells them at 11 for Rs 12. Find his gain or loss percent.

Answer 1

\[\text { C . P of 9 apples } = Rs 9 . 60\]

\[ \therefore \text { C . P of 1 apple  = Rs } \frac{9 . 60}{9} = Rs\frac{16}{15}\]

\[\text { S . P of 11 apples = Rs } 12\]

\[ \therefore\text {  S . P of 1 apple = Rs } \frac{12}{11}\]

\[\text { Clearly, S . P of 1 apple > C . P of 1 apple }\]

\[\text { So, we get profit on selling apples }\]

\[\text { Gain %  }= \left( \frac{\text { gain } \times 100}{C . P .} \right)\]

\[ = \left( \frac{\frac{12}{11} - \frac{16}{15}}{\frac{16}{15}} \right) \times 100\]

\[ = \left( \frac{12 \times 15 - 16 \times 11}{15 \times 11} \right) \times \frac{15}{16} \times 100\]

\[ = \left( \frac{180 - 176}{11 \times 16} \right) \times 100\]

\[ = \left( \frac{4}{11 \times 16} \right) \times 100\]

\[ = 2\frac{3}{11} \]%