A number is increased by 20% and then decreased by 20%. What is the net change in the number?
Practice Questions
1 question
Q1
A number is increased by 20% and then decreased by 20%. What is the net change in the number?
0%
4%
5%
10%
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%.
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 the number?
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%.
Steps: 6
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%.
