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A product is sold for $150 after a 10% increase in price. What was the original

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Question: A product is sold for $150 after a 10% increase in price. What was the original price?

Options:

  1. $135
  2. $140
  3. $145
  4. $150

Correct Answer: $135

Solution: 

Let the original price be x. Then, x + 0.1x = 150, so 1.1x = 150, thus x = 150 / 1.1 = 135.

A product is sold for $150 after a 10% increase in price. What was the original

Practice Questions

Q1
A product is sold for $150 after a 10% increase in price. What was the original price?
  1. $135
  2. $140
  3. $145
  4. $150

Questions & Step-by-Step Solutions

A product is sold for $150 after a 10% increase in price. What was the original price?
  • Step 1: Let the original price be represented by the variable x.
  • Step 2: A 10% increase in price means the new price is the original price plus 10% of the original price.
  • Step 3: We can express this as an equation: x + 0.1x = 150.
  • Step 4: Combine the terms on the left side: 1.1x = 150.
  • Step 5: To find the original price x, divide both sides of the equation by 1.1: x = 150 / 1.1.
  • Step 6: Calculate the value: x = 135.
  • Percentage Increase – Understanding how to calculate the original price after a percentage increase.
  • Algebraic Manipulation – Using algebra to solve for the unknown variable in an equation.
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