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Akshay buys a motorcycle for Rs.25000. If he decides to sell the motorcycle for a profit of 7%, find the selling price.OptionsNone of these300026,7504567

Question

Akshay buys a motorcycle for Rs.25000. If he decides to sell the motorcycle for a profit of 7%, find the selling price.

Options
None of these
3000
26,750
4567

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Solution

1. Break Down the Problem

To find the selling price of the motorcycle after a profit of 7%, we need to follow these steps:

  • Calculate the profit amount based on the purchase price.
  • Add the profit to the original price to find the selling price.

2. Relevant Concepts

The relevant formula for calculating selling price (SP) given cost price (CP) and profit percentage (P%) is: Selling Price (SP)=Cost Price (CP)+Profit \text{Selling Price (SP)} = \text{Cost Price (CP)} + \text{Profit} Where: Profit=(P%100)×Cost Price (CP) \text{Profit} = \left( \frac{P\%}{100} \right) \times \text{Cost Price (CP)}

3. Analysis and Detail

  1. Determine the Profit:

    • Given:
      • Cost Price (CP) = Rs. 25000
      • Profit Percentage (P%) = 7%
    • Calculate the profit: Profit=(7100)×25000=1750 \text{Profit} = \left( \frac{7}{100} \right) \times 25000 = 1750
  2. Calculate the Selling Price:

    • Now add the profit to the cost price: Selling Price (SP)=25000+1750=26750 \text{Selling Price (SP)} = 25000 + 1750 = 26750

4. Verify and Summarize

The computations yielded a profit of Rs. 1750, resulting in a selling price of Rs. 26750. This confirms that the method and calculations were correct.

Final Answer

The selling price of the motorcycle after a profit of 7% is Rs. 26750.

This problem has been solved

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