Question

What number is $10\mathrm{\%}$ of $50$?

Answer 1

Hint: In this question we have to find the number which is $10\mathrm{\%}$ of $50$ . So we will first convert the percentage form into the simpler form i.e. ratio or we can say fraction. After that we will multiply it with the given number.
Here in mathematics the term “of” means to multiply i.e. $\times$ .

Complete step by step solution:
Let us first understand the definition of percentage:
Percentage means a number or a ratio represented in the form of fractions of $100$ .
We can represent it with the percentage symbol i.e. $\mathrm{\%}$ .
So if we have $20\mathrm{\%}$ , we can write this as
${\displaystyle \frac{20}{100}}$ .
Now in the above question we have $10\mathrm{\%}$ .
We can write this as
${\displaystyle \frac{10}{100}}$ .
Since we know that the finding the fraction of a number is same as multiplying the fraction and here the term “of” means to multiply, so we can write this as:
${\displaystyle \frac{10}{100}}\times 50$
On simplifying we have,
${\displaystyle \frac{50}{10}}=5$.
Hence the required answer is $5$ .

Note:
We should note that the percentage has no dimensions, it means that they are dimensionless numbers. So if we say that $60\mathrm{\%}$ of a number, then it implies
$60$ percent of its whole.
We can express this in both decimal and fraction forms. We can wrote the decimal form as
${\displaystyle \frac{60}{100}}=0.6$ .