Question

A positive number is by mistake divided by $6$ instead of being multiplied by $6.$ What is the $\%$ error (approximately)?

• A. $3\%$
• B. $97\%$
• C. $83\%$
• D. $75\%$

Answer 1

The correct option is B $97\%$

Let the number be $x.$
% error $=\frac{6x-\frac{x}{6}}{6x}\times 100$
$=\frac{\frac{35x}{6}}{6x}\times 100$

$=\frac{35}{36}\times 100=97\frac{2}{3}\%\cong 97\%$