Question

If $0.03$ percent of $n$ is 3, then what is $3$ percent of $n$ ?
(a) 900
(b) 600
(c) 300
(d) 0.006
(e) 0.003

Answer 1

Hint: For solving this problem we will use the concept of percentage and form our equations as per the given data to calculate the value of $n$ . Then, we will solve for the value of 3 percent of $n$ and then select the correct option easily.

Complete step-by-step answer:

Given:
A number $n$ such that, 0.03 percent of $n$ is 3.
Now, before we proceed to solve we should know the concept of percentage and we can understand with the help of an example of articles given below:
Let us consider initially we have 100 number of articles. Then, 1% of 100 $=\dfrac{1}{100}\times 100=1$ .
Let us consider a number $N$ .
Then, $y%$ of $N$ = $\dfrac{y}{100}\times N$ .
Now, as we have understood the concept of percentage. So, we come back to solve our problem. It is given that 0.03% of $n$ is 3. Then,
$\begin{align}
  & \dfrac{0.03}{100}\times n=3 \\
 & \Rightarrow n=10000 \\
\end{align}$

Now, we will calculate for $3%$ of $n$ . Then, $\dfrac{3}{100}\times n=\dfrac{3}{100}\times 10000=300$ .
Thus, 3% of $n$ equals to 300.
Hence, (c) is the correct option.

Note: Here, a student must apply the percentage concept carefully and proceed step by step in the solution to get the correct answer for the question. Moreover, calculations should be carried out carefully so that we can get the correct answer. To get the answer correctly more quickly if you know the concept of percentage the value of 3 per cent should be 100 times of the value of 0.03 per cent so, just multiply the given value of 0.03 per cent and you will get the correct answer.