A number is mistakenly divided by 5 instead of being multiplied by 5. Find the percentage change in the result due to this mistake.
A. 96%
B. 95%
C. 2400%
D. 200%
E. None of these

To find the percentage change in the result due to this mistake, let's assume the original number is "x."

If the number is mistakenly divided by 5 instead of being multiplied by 5, the incorrect result will be x/5.

To find the percentage change, we can compare the difference between the correct result (5x) and the incorrect result (x/5) to the correct result (5x) and express it as a percentage:

Percentage Change = [(Correct Result - Incorrect Result) / Correct Result] * 100

Percentage Change = [(5x - x/5) / 5x] * 100

Now, let's calculate this:

Percentage Change = [(5x - x/5) / 5x] * 100
Percentage Change = [(25x - x) / (5x)] * 100
Percentage Change = [(24x) / (5x)] * 100
Percentage Change = (24/5) * 100
Percentage Change = 480%

So, the percentage change in the result due to this mistake is 480%. None of the answer choices provided match this value, so the correct answer would be "E. None of these."