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If the cost price of 15 pencils is equal to the selling price of 10 pencils, what is the gain or loss percentage?
20% gain
30% loss
50% gain
40% loss
- Let's denote the cost price of one pencil as 'C' and the selling price of one pencil as 'S'.
- According to the problem, the cost price of 15 pencils equals the selling price of 10 pencils: 15C = 10S.
- Solving for the ratio S/C gives us S = 1.5C.
- This indicates that the selling price is 1.5 times the cost price.
- Therefore, the percentage gain is calculated as: [(Selling Price - Cost Price) / Cost Price] x 100%
- Substituting the known values results in: [(1.5C - C) / C] x 100% = 50% gain.
- Option 3: 50% gain is indeed the correct answer.
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