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A bicycle's price is decreased by 15% and the new price is $85. What was the ori

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Question: A bicycle\'s price is decreased by 15% and the new price is $85. 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 - (15% of x) = 85. This means 0.85x = 85, so x = 85 / 0.85 = $100.

A bicycle's price is decreased by 15% and the new price is $85. What was the ori

Practice Questions

Q1
A bicycle's price is decreased by 15% and the new price is $85. What was the original price?
  1. $100
  2. $90
  3. $80
  4. $70

Questions & Step-by-Step Solutions

A bicycle's price is decreased by 15% and the new price is $85. What was the original price?
  • Step 1: Let the original price of the bicycle be represented by 'x'.
  • Step 2: The price is decreased by 15%, which means you pay 85% of the original price.
  • Step 3: Write the equation for the new price: 0.85x = 85.
  • Step 4: To find the original price 'x', divide both sides of the equation by 0.85: x = 85 / 0.85.
  • Step 5: Calculate the value: x = 100.
  • Step 6: Therefore, the original price of the bicycle was $100.
  • Percentage Decrease – Understanding how to calculate a new price after a percentage decrease from the original price.
  • Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation based on the given information.
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