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A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the

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Question: A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the original price of the shirt?

Options:

  1. $36
  2. $40
  3. $42
  4. $45

Correct Answer: $40

Solution:

Let the original price be x. After a 20% discount, the selling price is 80% of x. Thus, 0.8x = 30. Solving for x gives x = 30/0.8 = 37.5. Therefore, the original price is $36.

A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the

Practice Questions

Q1
A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the original price of the shirt?
  1. $36
  2. $40
  3. $42
  4. $45

Questions & Step-by-Step Solutions

A shopkeeper sells a shirt for $30 after giving a discount of 20%. What was the original price of the shirt?
  • Step 1: Understand that the shopkeeper sells the shirt for $30 after giving a discount.
  • Step 2: Know that a 20% discount means the customer pays 80% of the original price.
  • Step 3: Let the original price of the shirt be represented by 'x'.
  • Step 4: Write the equation for the selling price after the discount: 0.8 * x = 30.
  • Step 5: To find 'x', divide both sides of the equation by 0.8: x = 30 / 0.8.
  • Step 6: Calculate the value: 30 divided by 0.8 equals 37.5.
  • Step 7: Conclude that the original price of the shirt is $37.50.
  • Percentage Discount – Understanding how to calculate the original price from a selling price after a percentage discount has been applied.
  • Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation based on the discount.
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