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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 change in price?

Options:

  1. 0%
  2. 2.25%
  3. 3.5%
  4. 5%

Correct Answer: 2.25%

Solution:

Let the original price be 100. After a 15% increase, price = 115. After a 15% decrease, price = 115 * 0.85 = 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 change in price?
  1. 0%
  2. 2.25%
  3. 3.5%
  4. 5%

Questions & Step-by-Step Solutions

A product's price is increased by 15% and then decreased by 15%. What is the net change in 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 the original price by 1.15 (which is 100 + 15%). So, 100 * 1.15 = 115.
  • Step 3: Calculate the price after a 15% decrease from the new price of 115. This is done by multiplying 115 by 0.85 (which is 100% - 15%). So, 115 * 0.85 = 97.75.
  • Step 4: Find the net change in price. Subtract the original price (100) from the final price (97.75). So, 97.75 - 100 = -2.25.
  • Step 5: To find the percentage change, divide the net change (-2.25) by the original price (100) and multiply by 100. So, (-2.25 / 100) * 100 = -2.25%.
  • Percentage Increase and Decrease – Understanding how to calculate the effects of successive percentage changes on a value.
  • Net Change Calculation – Calculating the overall change in value after applying both an increase and a decrease.
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