A number X is mistakenly divided by 10 instead of being multiplied by 10. What is the percentage error in the result?

Q: A number X is mistakenly divided by 10 instead of being multiplied by 10. What is the percentage error in the result?

By mistake = x/10 Actual value = x * 10 % Change = 10 x - x 10 10 x × 100 = 99 100 × 100 = 99% (negative) Since actual value is greater than the wrong value.

-99%
+99%
-100%
+100%

Correct Answer: -99%

Explanation:

By mistake = x/10

Actual value = x * 10

% Change = $\frac{10 x - \frac{x}{10}}{10 x} \times 100 = \frac{99}{100} \times 100$ = 99% (negative)

Since actual value is greater than the wrong value.

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