If a number is increased by 15% and then decreased by 15%, what is the net effec

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Question: If a number is increased by 15% and then decreased by 15%, what is the net effect on the number?

Options:

0%
2.25%
3.5%
5%

Correct Answer: 2.25%

Solution:

Let the number be 100. After 15% increase, it becomes 115. After 15% decrease, it becomes 115 - 17.25 = 97.75. Net change = (97.75 - 100)/100 * 100% = -2.25%.

If a number is increased by 15% and then decreased by 15%, what is the net effec

Practice Questions

If a number is increased by 15% and then decreased by 15%, what is the net effect on the number?

0%
2.25%
3.5%
5%

Questions & Step-by-Step Solutions

If a number is increased by 15% and then decreased by 15%, what is the net effect on the number?

Step 1: Start with a number. Let's use 100 as an example.
Step 2: Calculate 15% of 100. 15% of 100 is 15.
Step 3: Increase the number by 15. So, 100 + 15 = 115.
Step 4: Now, calculate 15% of 115. 15% of 115 is 17.25.
Step 5: Decrease 115 by 17.25. So, 115 - 17.25 = 97.75.
Step 6: Find the net change from the original number (100) to the final number (97.75).
Step 7: Calculate the change: 97.75 - 100 = -2.25.
Step 8: To find the percentage change, divide the change by the original number and multiply by 100: (-2.25 / 100) * 100% = -2.25%.

Percentage Increase and Decrease – Understanding how to calculate the effect of successive percentage changes on a number.
Net Change Calculation – Calculating the overall effect after applying both an increase and a decrease.

If a number is increased by 15% and then decreased by 15%, what is the net effec

What’s inside this PDF?

If a number is increased by 15% and then decreased by 15%, what is the net effec

Practice Questions

Questions & Step-by-Step Solutions

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