| A person buys some pencils at 5 for Rs. 1 and sells them at 3 for Rs. 1. His gain per cent will be |
A) \[66\frac{2}{3}\]%
B) \[76\frac{2}{3}\]%
C) \[56\frac{2}{3}\]%
D) \[46\frac{2}{3}\]%
Correct Answer: A
Solution :
| CP of one pencils \[=Rs.\,\frac{1}{5}\] |
| and SP of one pencil \[=Rs.\frac{1}{3}\] |
| \[\therefore \] Gain \[=\frac{1}{3}-\frac{1}{5}=\frac{5-3}{15}=Rs.\frac{2}{15}\] |
| \[\therefore \] Gain percentage \[=\,\,\frac{\frac{2}{15}\times 100}{\frac{1}{5}}=\frac{200}{3}=66\frac{2}{3}\]% |
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