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

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

Options:

  1. $50
  2. $45
  3. $60
  4. $55

Correct Answer: $50

Solution: 

Let the original price be x. Then, x - 0.2x = 40 => 0.8x = 40 => x = 50.

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

Practice Questions

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

Questions & Step-by-Step Solutions

If a shirt is sold for $40 after a 20% discount, what was the original price?
  • Step 1: Let the original price of the shirt be represented by 'x'.
  • Step 2: A 20% discount means the shirt is sold for 80% of its original price.
  • Step 3: Write the equation for the sale price: 0.8 * x = 40.
  • Step 4: To find 'x', divide both sides of the equation by 0.8: x = 40 / 0.8.
  • Step 5: Calculate 40 divided by 0.8, which equals 50.
  • Step 6: Therefore, the original price of the shirt is $50.
  • Percentage Discount Calculation – Understanding how to calculate the original price of an item after a discount is applied.
  • Algebraic Manipulation – Using algebra to solve for the unknown variable (original price) in an equation.
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