| By selling 1 dozen ball pens, a, shopkeeper earned the profit equal to the selling price of 4 ball pens. His profit per cent is |
A) \[50\]%
B) \[40\]%
C) \[33\frac{1}{3}\]%
D) \[33\frac{1}{4}\]%
Correct Answer: A
Solution :
| Profit = SP of 4 pen |
| \[\text{Profit}=\text{SP}-\text{CP}\] |
| SP of 4pen = SP of 12pen\[-\,\,\text{CP}\] of 12 pen |
| \[\therefore \]CP of 12 pen = SP of 8 pen |
| Gain% = \[\frac{SP\,-CP}{CP}\,\times \]100% = \[\left( \frac{SP}{CP}\,-\,1 \right)\,\times \]100% |
| \[=\,\left( \frac{3}{2}\,-\,1 \right)\,\times \]100% = \[\frac{1}{2}\,\times \]100% =50% |
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