| A fruit seller buys lemons at 2 at Rs. 1 and sells them at 5 for Rs. 3. His profit per cent is |
A) 10
B) 15
C) 20
D) 25
Correct Answer: C
Solution :
| Cost price of one lemon\[=\,\,\text{Rs}\text{.}\,\,\frac{1}{2}\] |
| Selling price of one lemon \[=\,\,\text{Rs}\text{.}\,\,\frac{3}{5}\] |
| Profit \[=\text{SP}-\text{CP}=\frac{3}{5}-\frac{1}{2}=\frac{6-5}{10}=\frac{1}{10}\] |
| Profit% \[=\frac{\text{Profit}\times \text{100}}{CP}=\frac{\frac{1}{10}\times 100}{1/2}=20%\] |
| Alternate Method |
| Suppose number of lemons bought = LCM of 2, 5 and 3 = 30 |
| \[\therefore \]\[\text{CP}=\text{Rs}\text{.}\left( \frac{1}{2}\times 30 \right)=\text{Rs}\text{.15}\] |
| \[\text{SP}=\text{Rs}\text{.}\left( \frac{3}{5}\times 30 \right)=\text{Rs}\text{.18}\] |
| \[\text{Profit}=\text{Rs}.\,\,3\] |
| \[\text{Profit}=\frac{3\times 100}{15}=20%\] |
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