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

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

Options:

  1. $32
  2. $36
  3. $48
  4. $50

Correct Answer: $48

Solution: 

Let original price be x. 0.8x = 40, x = 40/0.8 = 50

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

Practice Questions

Q1
If a shirt is sold for $40 after a 20% discount, what was its original price?
  1. $32
  2. $36
  3. $48
  4. $50

Questions & Step-by-Step Solutions

If a shirt is sold for $40 after a 20% discount, what was its original price?
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 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 – Understanding how to calculate the original price from a discounted price using percentage.
  • Algebraic Manipulation – Using algebra to isolate the variable representing the original price.
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