If a shirt is sold for $240 after a discount of 20%, what was the original price

Practice Questions

Q1
If a shirt is sold for $240 after a discount of 20%, what was the original price of the shirt?
  1. $300
  2. $280
  3. $250
  4. $320

Questions & Step-by-Step Solutions

If a shirt is sold for $240 after a discount of 20%, what was the original price of the shirt?
Correct Answer: 300
  • Step 1: Understand that the shirt is sold for $240 after a discount.
  • Step 2: Know that a 20% discount means you pay 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 = 240.
  • Step 5: To find 'x', divide both sides of the equation by 0.8: x = 240 / 0.8.
  • Step 6: Calculate the division: 240 divided by 0.8 equals 300.
  • Step 7: Conclude that the original price of the shirt is $300.
  • Percentage Discount – Understanding how to calculate the original price after a percentage discount has been applied.
  • Algebraic Manipulation – Using algebra to solve for the unknown variable (original price) in an equation.
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