A positive number is mistakenly divided by 5 instead of being multiplied by 5. With respect to the correct answer, the percentage error is ______.

Correct Answer: 96

Solution

If the number is $$x$$, the correct answer is $$5x$$ and the wrong answer is $$\frac{x}{5}$$, so the error is $$5x - \frac{x}{5} = \frac{24x}{5}$$. The percentage error is $$\frac{24x/5}{5x} \times 100 = \frac{24}{25} \times 100 = 96$$.

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