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Two similar pieces of an item were purchesed by paying the same amount for each, and they were sold,respectively,for a profit
of 25% and a loss of 20%. What was his profit percentage?
2
4.5
2.5
5
- Initial Purchase: Two identical items were bought at the same cost. Let's call the cost price of each item $C$.
- Sale Transactions:
- One item was sold with a 25% profit: Selling price = C+0.25C=1.25C
- The other item was sold with a 20% loss: Selling price = C−0.20C=0.80C
- Total Cost: 2C
- Total Revenue: 1.25C+0.80C=2.05C
- Profit: Total Revenue - Total Cost = 2.05C−2C=0.05C
- Profit Percentage: (0.05C/2C)×100=2.5%
- Correct Answer:
✓ Option 3: 2.5
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