47. Which of the following represents 0.2% of 1/5?

(A) 1/25,000
(B) 1/2500
(c) 1/250
(D) 1/25
(E) 1/10


Answer :

First think of what 0.2% is as a fraction,

[tex]0.2\%=\frac{0.2}{100}=\frac{2\cdot10^{-1}}{10^2}=\frac{2}{10^3}=\frac{2}{1000}[/tex]

Now multiply the fraction by a fifth,

[tex]\frac{2}{1000}\cdot\frac{1}{5}=\frac{2}{5000}[/tex]

Which then simplifies to,

[tex]\frac{2}{5000}=\boxed{\frac{1}{2500}}[/tex]

Hope this helps :)