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A laptop is sold for $1200 after a 15% increase in price. What was the original

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Question: A laptop is sold for $1200 after a 15% increase in price. What was the original price?

Options:

  1. $1000
  2. $1100
  3. $900
  4. $950

Correct Answer: $1000

Solution: 

Let original price be x. Then, x + 0.15x = 1200. 1.15x = 1200. x = 1200 / 1.15 = $1043.48 (not an option).

A laptop is sold for $1200 after a 15% increase in price. What was the original

Practice Questions

Q1
A laptop is sold for $1200 after a 15% increase in price. What was the original price?
  1. $1000
  2. $1100
  3. $900
  4. $950

Questions & Step-by-Step Solutions

A laptop is sold for $1200 after a 15% increase in price. What was the original price?
  • Step 1: Let the original price of the laptop be represented by 'x'.
  • Step 2: The price increased by 15%, which means the new price is the original price plus 15% of the original price.
  • Step 3: Write the equation for the new price: x + 0.15x = 1200.
  • Step 4: Combine the terms on the left side: 1.15x = 1200.
  • Step 5: To find the original price 'x', divide both sides of the equation by 1.15: x = 1200 / 1.15.
  • Step 6: Calculate the value: x = 1043.48.
  • Percentage Increase – Understanding how to calculate the original price after a percentage increase.
  • Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation.
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