Question

A positive number is mistakenly divided by $6$ instead of being multiplied by $6$. Based on the correct answer, the error thus committed, to the nearest percent, is

• A. $100$
• B. $97$
• C. $83$
• D. $17$

Answer 1

The correct option is B $97$

Let N represent the positive number, so that the incorrect result is $\frac{1}{6}N$. Since the correct product is 6N, the error is $6N-\frac{1}{6}N=\frac{35}{6}N$. Therefore, the percent error based on the correct result is
$\frac{Error}{correctresult}\times 100=\frac{3500}{36}\approx 97$