Multiple choice

If a mathematician increases a number by $40$% and decreases it by $25$%, the new number is of what percentage of the original number?

  1. $100$
  2. $105$
  3. $85$
  4. $140$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number be 100. After 40% increase, it becomes 140. After 25% decrease, it becomes 140 * 0.75 = 105. This is 105% of the original.

AI explanation

Assume the original number is 100. Increasing 100 by 40 percent adds 40, making the number 140. Decreasing this new value by 25 percent means subtracting 35, since 25 percent of 140 is 35. The final number becomes 105, which is 105 percent of the original number.

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