Question

An inspector rejected 0.08% of the motors as defective. How many motors he had to examine to reject 2 motors?

• A. 25
• B. 250
• C. 2500
• D. 25000

Answer 1

The correct option is C

2500

An inspector rejected 0.08% of the motors as defective out of the total and he rejected 2 motors in total.
Let the total motors be x.
Defective motors can be calculated as;
$\Rightarrow$ 0.08% of x = 2
$\Rightarrow \frac{0.08}{100}\times x=2$
$x=2\times \frac{100}{0.08}$
$\Rightarrow x=\frac{2\times 100\times 100}{8}$ [$\frac{1}{0.08}$ can be written as $\frac{100}{8}$]
$\Rightarrow x=2500$
Therefore, the inspector had to examine 2500 motors.