Question

What is \[80\% \] of \[125\] ?

Answer 1

Hint: Here in this question, we have to find the number \[80\% \] of \[125\] . For finding this we have two methods firstly, percentage simplification, for this we have to write the given percentage term into fraction form and multiply this fraction with \[125\] using the arithmetic operation and another method to calculate by direct proportion. On simplification we get the required solution.

Complete step-by-step answer:
Consider the data in given question
 \[80\% \] of \[125\]
Method 1:
we need to calculate the number \[80\% \] of \[125\] for this.
Firstly, we have to write the percentage term i.e., \[80\% \] into the fraction.
Remember that "per" means "divided by", and "cent" means 100, so "percent" means "divided by 100" or "out of 100."
Therefore \[80\% \] can be written as:
 \[ \Rightarrow \dfrac{{80}}{{100}}\]
When dealing with percent’s the word "of" means "times" or "to multiply".
Let’s consider the Resultant value i.e., number of \[80\% \] in \[125\] as \[x\]
Putting this all together we can write this equation and solve for \[x\] while keeping the equation balanced:
 \[ \Rightarrow x = \dfrac{{80}}{{100}} \times 125\]
 \[ \Rightarrow x = 0.8 \times 125\]
On simplification, we get
 \[ \Rightarrow x = 100\]
Therefore, the number \[80\% \] of \[125\] is \[100\] .

Method 2:
This can also be calculated by a direct proportion.
 \[80\% \] of \[125\] = \[x\] number
If \[125\] represents \[100\% \] , what value represents \[80\% \] .
 \[ \Rightarrow \dfrac{{80}}{{100}} = \dfrac{x}{{125}}\]
On cross multiplication, we have
 \[ \Rightarrow 80 \times 125 = x \times 100\]
 \[ \Rightarrow 10,000 = x100\]
Divide both side by 100, then
 \[ \Rightarrow x = \dfrac{{10,000}}{{100}}\]
 \[ \Rightarrow x = 100\]
Hence, by both methods we get the same answer i.e., \[80\% \] of \[125\] is \[100\] .


So, the correct answer is “100”.

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.