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A number is increased by 20% and then decreased by 20%. What is the net change i

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Question: A number is increased by 20% and then decreased by 20%. What is the net change in the number?

Options:

  1. 0%
  2. 4%
  3. 5%
  4. 10%

Correct Answer: 4%

Solution: 

Let the original number be 100. After a 20% increase, it becomes 120. After a 20% decrease, it becomes 120 - 24 = 96. The net change is (96 - 100)/100 * 100% = -4%.

A number is increased by 20% and then decreased by 20%. What is the net change i

Practice Questions

Q1
A number is increased by 20% and then decreased by 20%. What is the net change in the number?
  1. 0%
  2. 4%
  3. 5%
  4. 10%

Questions & Step-by-Step Solutions

A number is increased by 20% and then decreased by 20%. What is the net change in the number?
Correct Answer: -4%
  • Step 1: Start with an original number. Let's use 100 as an example.
  • Step 2: Calculate a 20% increase on 100. 20% of 100 is 20, so 100 + 20 = 120.
  • Step 3: Now, calculate a 20% decrease on the new number, which is 120. 20% of 120 is 24, so 120 - 24 = 96.
  • Step 4: Find the net change by comparing the final number (96) to the original number (100).
  • Step 5: Calculate the change: (96 - 100) = -4.
  • Step 6: To find the percentage change, divide the change by the original number and multiply by 100: (-4 / 100) * 100% = -4%.
  • Percentage Increase and Decrease – Understanding how to calculate percentage changes and their cumulative effects on a number.
  • Net Change Calculation – Determining the overall effect on a number after sequential percentage changes.
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