Multiple choice

A number increased by $20\%$, and the resulting number then decreased by $30\%$. By what overall percentage the original value increase or decrease?

  1. It decreased by $21\%$
  2. It decreased by $16\%$
  3. It decreased by $10\%$
  4. It decreased by $8\%$
  5. It increased by $10\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original number be 100. After 20% increase: 120. After 30% decrease: 120 * 0.7 = 84. Change = 100 - 84 = 16% decrease.

AI explanation

Let the original number be 100, so a 20% increase makes it 120. Applying a 30% decrease subtracts 36 from 120, resulting in 84. The net change is 16, which is a 16% decrease from the original 100. The value decreased by 16%.

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