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Anu purchased car and then sold it. If t...

Anu purchased car and then sold it. If the ratio of the cost price and selling price is `10:11`, then the profit percentage is:

A

A)15%

B

B)18%

C

C)10%

D

D)20%

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the profit percentage based on the given ratio of the cost price (CP) and selling price (SP). ### Step-by-Step Solution: 1. **Understand the Given Ratio**: The ratio of the cost price to the selling price is given as \(10:11\). This means: \[ \text{Cost Price (CP)} = 10 \text{ units} \] \[ \text{Selling Price (SP)} = 11 \text{ units} \] 2. **Calculate the Profit**: Profit is calculated as the difference between the selling price and the cost price: \[ \text{Profit} = \text{SP} - \text{CP} = 11 - 10 = 1 \text{ unit} \] 3. **Calculate the Profit Percentage**: The profit percentage is calculated using the formula: \[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 \] Substituting the values we found: \[ \text{Profit Percentage} = \left(\frac{1}{10}\right) \times 100 = 10\% \] 4. **Conclusion**: The profit percentage is \(10\%\). ### Final Answer: The profit percentage is **10%**. ---
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