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A shopkeeper sells a shirt for $30, which is a 20% profit on the cost price. Wha

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Question: A shopkeeper sells a shirt for $30, which is a 20% profit on the cost price. What is the cost price of the shirt?

Options:

  1. $24
  2. $25
  3. $26
  4. $27

Correct Answer: $24

Solution:

Let the cost price be x. The selling price is 30, which is 120% of the cost price. Therefore, 1.2x = 30. Solving for x gives x = 30/1.2 = 25. Thus, the cost price is $25.

A shopkeeper sells a shirt for $30, which is a 20% profit on the cost price. Wha

Practice Questions

Q1
A shopkeeper sells a shirt for $30, which is a 20% profit on the cost price. What is the cost price of the shirt?
  1. $24
  2. $25
  3. $26
  4. $27

Questions & Step-by-Step Solutions

A shopkeeper sells a shirt for $30, which is a 20% profit on the cost price. What is the cost price of the shirt?
  • Step 1: Understand that the selling price of the shirt is $30.
  • Step 2: Know that the selling price includes a profit of 20% on the cost price.
  • Step 3: Recognize that if the cost price is 'x', then the selling price is 120% of 'x'.
  • Step 4: Write the equation for the selling price: 1.2 * x = 30.
  • Step 5: To find 'x', divide both sides of the equation by 1.2: x = 30 / 1.2.
  • Step 6: Calculate 30 divided by 1.2, which equals 25.
  • Step 7: Conclude that the cost price of the shirt is $25.
  • Profit Calculation – Understanding how to calculate profit based on selling price and cost price.
  • Percentage Conversion – Converting percentage profit into a decimal to find the relationship between selling price and cost price.
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