Question

What is \[25\% \] of \[240\] ?

Answer 1

Hint: Here in this question, we have to find the one quarter of 240. For finding this we have two methods firstly, as we know one quarter is \[\dfrac{1}{4}\] for this multiply 240 we get the quarter part of 240. Another method is percentage simplification, for this we have to write the given percentage term into fraction form and multiply this fraction with 240 using the arithmetic operation. On simplification we get the required solution.

Complete step by step solution:
Consider the data in given question
 \[25\% \] of \[240\]
Method 1:
As we know, \[25\% \] is equal to one quarter i.e., represented as \[\dfrac{1}{4}\], therefore you simply divide 240 by 4.
 \[ \Rightarrow \,\,\dfrac{{240}}{4}\]
On simplification, we get
 \[ \Rightarrow \,\,60\]
Therefore, \[25\% \] of \[240\] is 60.
Method 2:
we need to calculate \[25\% \] of \[240\] for this.
Firstly, we have to write the percentage term i.e., \[25\% \] into the fraction.
Remember that "per" means "divided by", and "cent" means 100, so "percent" means "divided by 100" or "out of 100."
Therefore \[25\% \] can be written as:
 \[ \Rightarrow \,\dfrac{{25}}{{100}}\]
When dealing with percent’s the word "of" means "times" or "to multiply".
Let’s consider the Resultant value i.e., value of one quarter in 240 as \[x\]
Putting this all together we can write this equation and solve for \[x\] while keeping the equation balanced:
 \[ \Rightarrow \,\,x = \dfrac{{25}}{{100}} \times 240\]
 \[ \Rightarrow \,\,x = \dfrac{1}{4} \times 240\]
On simplification, we get
 \[ \Rightarrow \,\,x = 60\]
Hence, by both methods we get the same answer i.e., \[25\% \] of \[240\] is \[60\].

Note: Here the question is related to the percentage. By using the specific methods and rules we can convert the number. As we know that the percentage term is written as \[x\% = \dfrac{x}{{100}}\], here, marked \[x\] as the total value. Using the simple arithmetic operation i.e., multiplication and division to get the required solution.