Question

What is $4\%$ of 1000?

Answer 1

Hint: To obtain the answer we will use percentage sign. Firstly we will remove the percentage sign and divide 4 by 100 then we will solve the fraction obtained by dividing numerator and denominator by the same value till we get a pair of co-prime numbers. Then we will multiply the obtained fraction by 1000 and simplify it to get the desired answer.

Complete step-by-step answer:
To obtain $4\%$ of 1000 we will convert $4\%$ in fraction by dividing it by 100 and removing the percent sign as follows:
$4\%=\dfrac{4}{100}$
Now, we will simplify the above value by dividing the numerator and denominator by 2 as,
$\begin{align}
  & = \dfrac{\dfrac{4}{2}}{\dfrac{100}{2}} \\
 & = \dfrac{2}{50} \\
\end{align}$
We will simplify it further by dividing numerator and denominator by 2 and get,
$\begin{align}
  & = \dfrac{\dfrac{2}{2}}{\dfrac{50}{2}} \\
 & = \dfrac{1}{25} \\
\end{align}$
So we can write
$4\%=\dfrac{1}{25}$
Next, we will multiply 1000 by the above value as,
$\begin{align}
  & = \dfrac{1}{25}\times 1000 \\
 & = 1\times 40 \\
 & = 40 \\
\end{align}$
Hence $4\%$ of 1000 is 40

Note: Percentage is defined as a number or a ratio which is expressed as a fraction of 100. The sign by which it is denoted is $\%$. It can be also represented in decimal form and widely used in our daily life. The most common exam is the percentage of students in an exam where we divide the marks obtained by total marks and multiply it by 100 to get the percentage. A direct method is also there to get the solution which is given below:
$P\%$ of Number $=X$
Where $X$ is the answer
So we can write:
$4\%$ of $1000=X$
On Removing percentage sign and divide 4 by 100 we get,
$\begin{align}
  & = \dfrac{4}{100}\times 1000=X \\
 & = \dfrac{1}{25}\times 1000=X \\
 & \therefore 40=X \\
\end{align}$
So we get $X=40$ which is the desired answer.