If a number is increased by 20% and then decreased by 20%, what is the net chang

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Question: If a number is increased by 20% and then decreased by 20%, what is the net change in the number?

Options:

Correct Answer: 0%

Solution:

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

If a number is increased by 20% and then decreased by 20%, what is the net change in the number?

If a number is increased by 20% and then decreased by 20%, what is the net change in the number?

Step 1: Start with a number. Let's use 100 as an example.
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 the new number, which is 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 from the original number (100) to the final number (96).
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 effect of sequential percentage changes on an initial value.