Question

What is $$80\mathrm{\%}$$ of $$125$$ ?

Answer 1

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

Method 2:
This can also be calculated by a direct proportion.
 $$80\mathrm{\%}$$ of $$125$$ = $$x$$ number
If $$125$$ represents $$100\mathrm{\%}$$ , what value represents $$80\mathrm{\%}$$ .
 $$\Rightarrow {\displaystyle \frac{80}{100}}={\displaystyle \frac{x}{125}}$$
On cross multiplication, we have
 $$\Rightarrow 80\times 125=x\times 100$$
 $$\Rightarrow 10,000=x100$$
Divide both side by 100, then
 $$\Rightarrow x={\displaystyle \frac{10,000}{100}}$$
 $$\Rightarrow x=100$$
Hence, by both methods we get the same answer i.e., $$80\mathrm{\%}$$ 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 $$x\mathrm{\%}={\displaystyle \frac{x}{100}}$$ , here, marked $$x$$ as the total value. Using the simple arithmetic operation i.e., multiplication and division to get the required solution.