A number is increased by 20% and then decreased by 20%. What is the net change in percentage? (2023)
Practice Questions
1 question
Q1
A number is increased by 20% and then decreased by 20%. What is the net change in percentage? (2023)
0%
4%
5%
6%
Let the number be 100. After increase: 100 + 20% of 100 = 120. After decrease: 120 - 20% of 120 = 96. Net change = (96 - 100)/100 * 100% = -4%.
Questions & Step-by-step Solutions
1 item
Q
Q: A number is increased by 20% and then decreased by 20%. What is the net change in percentage? (2023)
Solution: Let the number be 100. After increase: 100 + 20% of 100 = 120. After decrease: 120 - 20% of 120 = 96. Net change = (96 - 100)/100 * 100% = -4%.
Steps: 8
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%.
