Multiple choice

If a number is increased by 30% and then decreased by 30%, the net increase/decrease percentage will be:

  1. 9

  2. 4

  3. 16

  4. 1
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A Correct answer
Explanation

Successive percentage change formula: x + y + (xy/100). Here, 30 - 30 + (30 * -30 / 100) = -900 / 100 = -9%. The negative sign indicates a 9% decrease.

AI explanation

When a number is increased by 30 percent and then decreased by 30 percent, the net change is found by the successive percentage formula: X + Y + (XY/100). Substituting 30 and negative 30 gives 30 minus 30 plus (30 times negative 30 divided by 100), resulting in a net decrease of 9 percent.

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