If a number is increased by 25% and then decreased by 20%, what is the net effec

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Question: If a number is increased by 25% and then decreased by 20%, what is the net effect on the number?

Options:

Correct Answer: 5% decrease

Solution:

Let the number be 100. After 25% increase: 100 + 25 = 125. After 20% decrease: 125 - 25 = 100. Net effect = (100 - 100)/100 × 100% = 0%.

If a number is increased by 25% and then decreased by 20%, what is the net effect on the number?

If a number is increased by 25% and then decreased by 20%, what is the net effect on the number?

Step 1: Start with a number. Let's use 100 as an example.
Step 2: Calculate 25% of 100. This is 25 (because 25% of 100 is 25).
Step 3: Increase the original number (100) by this amount (25). So, 100 + 25 = 125.
Step 4: Now, calculate 20% of the new number (125). This is 25 (because 20% of 125 is 25).
Step 5: Decrease the new number (125) by this amount (25). So, 125 - 25 = 100.
Step 6: Compare the final number (100) to the original number (100). The difference is 0.
Step 7: To find the net effect, use the formula: (final number - original number) / original number × 100%. This gives (100 - 100) / 100 × 100% = 0%.

Percentage Increase and Decrease – Understanding how to calculate the effects of successive percentage changes on a number.
Net Effect Calculation – Determining the overall change after applying both an increase and a decrease.