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A person bought some caps at rate of 60 ...

A person bought some caps at rate of 60 for Rs 93 and sold them at the rate of 50 for Rs 93.Find the profit or loss %.

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To solve the problem of finding the profit or loss percentage when a person buys caps at a certain rate and sells them at another rate, we can follow these steps: ### Step-by-Step Solution: 1. **Determine the Cost Price (CP) per Cap:** The person bought 60 caps for Rs. 93. \[ \text{Cost Price (CP) per cap} = \frac{93}{60} = 1.55 \text{ Rs (approx)} \] 2. **Determine the Selling Price (SP) per Cap:** The person sold 50 caps for Rs. 93. \[ \text{Selling Price (SP) per cap} = \frac{93}{50} = 1.86 \text{ Rs (approx)} \] 3. **Calculate the Profit per Cap:** Profit is calculated as the difference between the Selling Price and the Cost Price. \[ \text{Profit per cap} = \text{SP} - \text{CP} = 1.86 - 1.55 = 0.31 \text{ Rs} \] 4. **Calculate the Profit Percentage:** Profit percentage is calculated using the formula: \[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 \] Substituting the values: \[ \text{Profit Percentage} = \left(\frac{0.31}{1.55}\right) \times 100 \approx 20\% \] ### Final Answer: The profit percentage is approximately **20%**.
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