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Select the correct answerA merchant buys an article for 27 and sells it at a profit of 10%. The selling price of the article is?Options3029.73732

Question

Select the correct answer

A merchant buys an article for 27 and sells it at a profit of 10%. The selling price of the article is?

Options
30
29.73
32

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Solution

Break Down the Problem

  1. Identify the Cost Price (CP): The cost price of the article is given as 27.
  2. Identify the Profit Percentage: The profit percentage is given as 10%.
  3. Calculate the Selling Price (SP): The SP can be calculated from the CP and profit percentage.

Relevant Concepts

The formula to calculate Selling Price (SP) when the profit percentage is known is: SP=CP+(ProfitPercentage×CP) SP = CP + (Profit \, Percentage \times CP) Where: Profit=ProfitPercentage100×CP Profit = \frac{Profit \, Percentage}{100} \times CP

Analysis and Detail

  1. Calculate the Profit: Profit=10100×27=2.7 Profit = \frac{10}{100} \times 27 = 2.7

  2. Calculate the Selling Price (SP): SP=CP+Profit=27+2.7=29.7 SP = CP + Profit = 27 + 2.7 = 29.7

Verify and Summarize

  • The calculations show that the profit calculated is correct.
  • Adding the profit to the original cost price yields the selling price.

Final Answer

The selling price of the article is 29.7.

This problem has been solved

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