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If a product is sold for $120 after a 20% discount, what was the original price?

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Question: If a product is sold for $120 after a 20% discount, what was the original price?

Options:

  1. $150
  2. $140
  3. $160
  4. $130

Correct Answer: $150

Solution: 

Let the original price be x. Then, x - 0.2x = 120, 0.8x = 120, x = 120 / 0.8 = $150.

If a product is sold for $120 after a 20% discount, what was the original price?

Practice Questions

Q1
If a product is sold for $120 after a 20% discount, what was the original price?
  1. $150
  2. $140
  3. $160
  4. $130

Questions & Step-by-Step Solutions

If a product is sold for $120 after a 20% discount, what was the original price?
  • Step 1: Understand that a 20% discount means the product is sold for 80% of its original price.
  • Step 2: Let the original price be represented by 'x'.
  • Step 3: Write the equation for the sale price after the discount: 0.8x = 120.
  • Step 4: To find 'x', divide both sides of the equation by 0.8: x = 120 / 0.8.
  • Step 5: Calculate the value: 120 divided by 0.8 equals 150.
  • Step 6: Conclude that the original price of the product was $150.
  • 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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