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A bicycle costs $120 after a 20% discount. What was the original price?

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Question: A bicycle costs $120 after a 20% discount. What was the original price?

Options:

  1. $140
  2. $150
  3. $160
  4. $180

Correct Answer: $160

Solution: 

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

A bicycle costs $120 after a 20% discount. What was the original price?

Practice Questions

Q1
A bicycle costs $120 after a 20% discount. What was the original price?
  1. $140
  2. $150
  3. $160
  4. $180

Questions & Step-by-Step Solutions

A bicycle costs $120 after a 20% discount. What was the original price?
  • Step 1: Understand that the bicycle costs $120 after a 20% discount.
  • Step 2: Let the original price of the bicycle be represented by 'x'.
  • Step 3: A 20% discount means you pay 80% of the original price.
  • Step 4: Write the equation for the price after the discount: 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: Therefore, the original price of the bicycle was $150.
  • Percentage Discount – Understanding how to calculate the original price from a discounted price using percentage.
  • Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation.
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