Multiple choice

A number is increased by $10%$ and then decreased by $10%$, find the net increase or decrease per cent.

  1. $15\%$
  2. $1\%$
  3. $13\%$
  4. $17\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When a value is increased by x% and then decreased by x%, the net change is always a decrease of (x^2 / 100)%. Here, (10^2 / 100) = 1% decrease.

AI explanation

Using the net percentage change formula of (x squared) divided by 100 with x equal to 10, the net change is negative 100 divided by 100, which is a 1 percent decrease. Alternatively, let the number be 100, which becomes 110 after a 10 percent increase; decreasing 110 by 10 percent gives 99. The net decrease is 1 divided by 100, which is 1 percent.

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