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A product is sold for $120 after a discount of 20%. What was the original price?

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Question: A product is sold for $120 after a discount of 20%. What was the original price?

Options:

  1. $100
  2. $120
  3. $150
  4. $140

Correct Answer: $100

Solution:

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

A product is sold for $120 after a discount of 20%. What was the original price?

Practice Questions

Q1
A product is sold for $120 after a discount of 20%. What was the original price?
  1. $100
  2. $120
  3. $150
  4. $140

Questions & Step-by-Step Solutions

A product is sold for $120 after a discount of 20%. What was the original price?
  • Step 1: Understand that the product is sold for $120 after a discount of 20%.
  • Step 2: Let the original price be represented by 'x'.
  • Step 3: A 20% discount means the customer pays 80% of the original price.
  • Step 4: Write the equation for the sale price: 0.8 * x = 120.
  • Step 5: To find 'x', divide both sides of the equation by 0.8: x = 120 / 0.8.
  • Step 6: Calculate 120 divided by 0.8, which equals 150.
  • Step 7: 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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