If a shirt is sold for $40 after a discount of 20%, what was the original price

Practice Questions

Q1
If a shirt is sold for $40 after a discount of 20%, what was the original price of the shirt?
  1. $50
  2. $60
  3. $45
  4. $55

Questions & Step-by-Step Solutions

If a shirt is sold for $40 after a discount of 20%, what was the original price of the shirt?
Correct Answer: $50
  • Step 1: Understand that the shirt is sold for $40 after a 20% discount.
  • Step 2: Recognize 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 to represent the sale price: 0.8 * x = 40.
  • Step 5: To find 'x', divide both sides of the equation by 0.8: x = 40 / 0.8.
  • Step 6: Calculate 40 divided by 0.8, which equals 50.
  • Step 7: Conclude that the original price of the shirt was $50.
  • Percentage Discount Calculation – Understanding how to calculate the original price of an item 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 discounted price.
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