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

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

Options:

  1. $100
  2. $140
  3. $150
  4. $160

Correct Answer: $160

Solution: 

Let the original price be x. Then, x - 0.20x = 120. Solving gives x = 120/0.80 = $150.

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

Practice Questions

Q1
A jacket is sold for $120 after a discount of 20%. What was the original price of the jacket?
  1. $100
  2. $140
  3. $150
  4. $160

Questions & Step-by-Step Solutions

A jacket is sold for $120 after a discount of 20%. What was the original price of the jacket?
  • Step 1: Understand that the jacket is sold for $120 after a 20% discount.
  • Step 2: Let the original price of the jacket be represented by 'x'.
  • Step 3: A 20% discount means the jacket is sold for 80% of its original price.
  • Step 4: Write the equation for the sale price: x - 0.20x = 120.
  • Step 5: Simplify the equation: 0.80x = 120.
  • Step 6: To find 'x', divide both sides of the equation by 0.80: x = 120 / 0.80.
  • Step 7: Calculate the value: x = 150.
  • Step 8: Conclude that the original price of the jacket was $150.
  • Percentage Discount – Understanding how to calculate the original price from a discounted price using percentage.
  • Algebraic Manipulation – Using algebra to isolate variables and solve for unknowns.
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