Question

What is 60% of 240 ?

Answer 1

Hint: To calculate the percentage of any quantity, we need to first understand the meaning of the term ‘percent’. Percent means to calculate a quantity per one hundred parts. To calculate a certain percentage of any quantity, the quantity is multiplied by converting the percentage into its decimal form. This will give us the answer to our problem.

Complete step by step answer:
In order to find the 60% of 240, we will first convert the percentage into its decimal form.
Let the percent given to us be denoted by ‘x’. Then, we have been given the value of ‘x’ as:
$\Rightarrow \%x=60$
Let us name the above equation as$(1)$, so we have:
$\Rightarrow \%x=60$ ......... (1)
Now, we need to find the decimal value of the percentage of ‘x’. We know that any percentage can be converted into its decimal quantity by dividing it with one hundred. So, we proceed in our solution in the following manner:
Let the decimal value of ‘x’ be given by ‘y’. Then, we can write that:
$\Rightarrow y=\dfrac{\%x}{100}$
Putting the value of ‘x’ from equation number (1) in the above equation, we get:
$\begin{align}
  & \Rightarrow y=\dfrac{60}{100} \\
 & \therefore y=0.60 \\
\end{align}$
Thus, we get the decimal value of 60% as 0.60 . Therefore, 60% of 240 can be calculated as follows:
$\begin{align}
  & \Rightarrow 60\%\text{ of 240}=0.60\times 240 \\
 & \therefore 60\%\text{ of 240}=144 \\
\end{align}$

Hence, 60% of 240 comes out to be 144.

Note: Whenever, we calculate the percentage of any quantity, that is, of a fraction or a decimal, it is always a non-negative term. This is because the percentage is a simplified method of measurement of quantity and there cannot be a negative amount of a substance. Thus, percentage whenever calculated should be a positive quantity.