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A product's price is increased by 15% and then decreased by 15%. What is the net

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Question: A product\'s price is increased by 15% and then decreased by 15%. What is the net percentage change in the price?

Options:

  1. -2.25%
  2. 0%
  3. 2.25%
  4. 15%

Correct Answer: -2.25%

Solution: 

Let the original price be 100. After 15% increase, price = 115. After 15% decrease, price = 115 - (15/100)*115 = 115 - 17.25 = 97.75. Net change = (97.75 - 100)/100 * 100 = -2.25%.

A product's price is increased by 15% and then decreased by 15%. What is the net

Practice Questions

Q1
A product's price is increased by 15% and then decreased by 15%. What is the net percentage change in the price?
  1. -2.25%
  2. 0%
  3. 2.25%
  4. 15%

Questions & Step-by-Step Solutions

A product's price is increased by 15% and then decreased by 15%. What is the net percentage change in the price?
  • Step 1: Assume the original price of the product is 100.
  • Step 2: Calculate the price after a 15% increase. This is done by multiplying 100 by 0.15 and adding it to 100. So, 100 + (15/100)*100 = 100 + 15 = 115.
  • Step 3: Now, calculate the price after a 15% decrease from the new price of 115. First, find 15% of 115, which is (15/100)*115 = 17.25.
  • Step 4: Subtract the decrease from the increased price. So, 115 - 17.25 = 97.75.
  • Step 5: Find the net change in price by subtracting the original price from the final price. This is 97.75 - 100 = -2.25.
  • Step 6: To find the net percentage change, divide the net change by the original price and multiply by 100. So, (-2.25 / 100) * 100 = -2.25%.
  • Percentage Change – Understanding how to calculate percentage increases and decreases.
  • Sequential Changes – Recognizing that consecutive percentage changes do not simply cancel each other out.
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