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A store sells a shirt for $40 after a 10% increase in price. What was the origin

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Question: A store sells a shirt for $40 after a 10% increase in price. What was the original price?

Options:

  1. $36
  2. $32
  3. $38
  4. $34

Correct Answer: $36

Solution: 

Let the original price be x. Then, x + 0.1x = 40, so 1.1x = 40, thus x = 40/1.1 = $36.36.

A store sells a shirt for $40 after a 10% increase in price. What was the origin

Practice Questions

Q1
A store sells a shirt for $40 after a 10% increase in price. What was the original price?
  1. $36
  2. $32
  3. $38
  4. $34

Questions & Step-by-Step Solutions

A store sells a shirt for $40 after a 10% increase in price. What was the original price?
  • Step 1: Let the original price of the shirt be represented by 'x'.
  • Step 2: The price increased by 10%, which means the new price is the original price plus 10% of the original price.
  • Step 3: We can write this as an equation: x + 0.1x = 40.
  • Step 4: Combine the terms on the left side: 1.1x = 40.
  • Step 5: To find the original price 'x', divide both sides of the equation by 1.1: x = 40 / 1.1.
  • Step 6: Calculate the value: x = 36.36.
  • 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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