Question

If 0.03 percent of n is 3, what is the 3 percent of n?
A) 900
B) 600
C) 300
D) 0.006
E) 0.003

Answer 1

Hint: We know that, the percentage of x is denoted by x% and the percentage of x is defined by,
\[x\% = \dfrac{x}{{100}}\]
With the help of the above equation we will find n and with the help of n we will find three percent of n.
Here x percent of n is given by the formula \[x\% {\text{ of }}n = \dfrac{x}{{100}} \times n\]

Complete step by step answer:
It is given in the question that, 0.03 percent of n is 3.
0.03% is written with the help of the formula given in the hint as,
\[0.03\% = \dfrac{{0.03}}{{100}}\]
Now let us find n with the help of the above equation,
Further 0.03 percent of n is 3 is given by,
\[\dfrac{{0.03}}{{100}} \times n = 3\]
Now let us solve for n,
\[n = \dfrac{{3 \times 100}}{{0.03}}\]
\[
  n = \dfrac{{3 \times 100 \times 100}}{3} \\
  n = 10000 \\
 \]
We have found that the value of n as 10000
Now let us find 3 percent of n.
Thus 3 percent of n is given by,
\[3\% \times n = \dfrac{3}{{100}} \times 10000\]
\[3\% \times 10000 = 300\]
Therefore 3 percent of n=10000 is 300.

As we have found the value of 3 percent of n is 300, So Option (C) is the correct option.


Note:
Percentage is defined as a representation of a number or ratio which is expressed as a fraction of 100. And x percent of a number n is given by the following formula \[x\% {\text{ of }}n = \dfrac{x}{{100}} \times n\]
With the help of the formula given in the additional information one can find x% of n whenever x and n are provided.