Multiple choice

If a quantity is increased by 30% and then decreased by 50%, by how much percentage does it have to be increased to bring it back to the original quantity?

  1. 30.25%

  2. 53.85%

  3. 31.33%

  4. 90.50%

  5. 20%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let initial value be 100. Increase by 30% = 130. Decrease by 50% = 65. To return to 100, increase required = 35. Percentage increase = (35 / 65) * 100 = 53.846 percent.

AI explanation

Let the initial quantity be 100. After a 30 percent increase it becomes 130, and a 50 percent decrease halves it to 65. To restore the quantity to 100, the required increase is 100 minus 65, which is 35. Using the percentage change formula, 35 divided by 65 yields an increase of 53.85 percent.

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