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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
\[\text { C . P of 9 apples } = Rs 9 . 60\]
\[ \therefore \text { C . P of 1 apple = Rs } \frac{9 . 60}{9} = Rs\frac{16}{15}\]
\[\text { S . P of 11 apples = Rs } 12\]
\[ \therefore\text { S . P of 1 apple = Rs } \frac{12}{11}\]
\[\text { Clearly, S . P of 1 apple > C . P of 1 apple }\]
\[\text { So, we get profit on selling apples }\]
\[\text { Gain % }= \left( \frac{\text { gain } \times 100}{C . P .} \right)\]
\[ = \left( \frac{\frac{12}{11} - \frac{16}{15}}{\frac{16}{15}} \right) \times 100\]
\[ = \left( \frac{12 \times 15 - 16 \times 11}{15 \times 11} \right) \times \frac{15}{16} \times 100\]
\[ = \left( \frac{180 - 176}{11 \times 16} \right) \times 100\]
\[ = \left( \frac{4}{11 \times 16} \right) \times 100\]
\[ = 2\frac{3}{11} \]%
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