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A product costs $80 after a 20% discount. What was the original price?

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Question: A product costs $80 after a 20% discount. What was the original price?

Options:

  1. $100
  2. $90
  3. $80
  4. $70

Correct Answer: $100

Solution: 

Let the original price be x. Then, x - 0.2x = 80, so 0.8x = 80, thus x = 100.

A product costs $80 after a 20% discount. What was the original price?

Practice Questions

Q1
A product costs $80 after a 20% discount. What was the original price?
  1. $100
  2. $90
  3. $80
  4. $70

Questions & Step-by-Step Solutions

A product costs $80 after a 20% discount. What was the original price?
  • Step 1: Let the original price be represented by 'x'.
  • Step 2: A 20% discount means you pay 80% of the original price.
  • Step 3: Write the equation for the price after the discount: 0.8x = 80.
  • Step 4: To find 'x', divide both sides of the equation by 0.8: x = 80 / 0.8.
  • Step 5: Calculate 80 divided by 0.8, which equals 100.
  • Step 6: Therefore, the original price is $100.
  • Percentage Discount – Understanding how to calculate the original price from a discounted price using percentage.
  • Algebraic Manipulation – Using algebra to isolate the variable and solve for the original price.
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