Question

What is $35\mathrm{\%}$ of $10$ ?

Answer 1

Hint: To solve this problem we will first know about the term percentage. In mathematics, by the word 'percent' we mean ‘out of $100$ ‘or per $100$. A percentage is basically a ratio or number which is expressed as a fraction of $100$ . Therefore, we find the number which is $35\mathrm{\%}$ of $10$ by using the unitary method. Therefore, we consider this case as if we are taking out $35$ from $100$ then we find the equivalent number that can be taken out from $10$ . This gives us the amount which is $35\mathrm{\%}$ of $10$ .

Complete step-by-step answer:
In the given problem we are required to find the number which is $35\mathrm{\%}$ of $10$ .
To get the required amount we will follow the unitary method.
According to the unitary method we first define the condition that is already known to us and from that condition we find the value for the unit or $1$ . Thus, we will find the value that is desired from the previous results.
We can make the first statement as
From $100$ we will consider the number $35$ .
Hence, from $1$ we can consider the number ${\displaystyle \frac{35}{100}}$ .
Now, if we take the number $10$ we get the value ${\displaystyle \frac{35}{100}}\times 10$ .
Upon doing that we further cancel the common zeroes in the above expression as
$={\displaystyle \frac{35}{100}}\times 10$
$={\displaystyle \frac{35}{10}}$
Converting the above fraction to a decimal as
$=3.5$
Therefore, we reach our conclusion that $3.5$ is $35\mathrm{\%}$ of $10$ .

Note: Instead of using the unitary method we can also find the percentage of a number by directly applying the formula for finding the percentage of a number which is developed from the above concept. We can obtain the answer from $x\times {\displaystyle \frac{y}{100}}$ , where $x$ is the given number and $y$ is the percentage of $x$ . For this case we get $10\times {\displaystyle \frac{35}{100}}=3.5$ .