Multiple choice

A number is first increased by $20\%$ and the resulting number is then decreased by $10\%$. Find the overall change in the number as percent.

  1. $10\%$ increase
  2. $8\%$ increase
  3. $12\%$ increase
  4. $9\%$ increase
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number be 100. Increase by 20% = 120. Decrease 120 by 10% = 120 - 12 = 108. Overall change = 8% increase.

AI explanation

Using the net percentage change formula of (a + b + (ab)/100), the overall percentage change is (20 minus 10 plus (20 multiplied by -10) divided by 100). This calculates to 10 minus 2, resulting in an 8% increase.

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