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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 percentage? (2023)
  1. 0%
  2. 4%
  3. 5%
  4. 6%

Questions & Step-by-Step Solutions

A number is increased by 20% and then decreased by 20%. What is the net change in percentage? (2023)
  • Step 1: Start with a number. Let's choose 100 for easy calculations.
  • Step 2: Calculate 20% of 100. 20% of 100 is 20.
  • Step 3: Increase the number by 20. So, 100 + 20 = 120.
  • Step 4: Now, calculate 20% of 120. 20% of 120 is 24.
  • Step 5: Decrease the new number (120) by 24. So, 120 - 24 = 96.
  • Step 6: Find the net change by comparing the final number (96) to the original number (100).
  • Step 7: Calculate the change: 96 - 100 = -4.
  • Step 8: 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 – Calculating the overall change after performing sequential percentage operations.
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