Question

What is $50\%$ of $120$?

Answer 1

Hint: In this question we have been asked to find $50\%$ of the total value of $120$. Percentage is a fraction which is upon $100$. We will use the property of percentages and calculate the value by making two equations and equating them both. We will consider the unknown value to be $x$ and then we will then use cross multiplication to simplify the value.

Complete step by step answer:
We have to find $50\%$ of $120$.
We know that the term $50\%$ represents $\dfrac{50}{100}$.
We can write the term $\dfrac{50}{100}$ as:
$\Rightarrow \dfrac{50\times 1}{50\times 2}$
On cancelling the common term $50$ from the numerator and denominator, we get:
$\Rightarrow \dfrac{1}{2}$
We now know that $50\%$ equals to the fraction $\dfrac{1}{2}$, therefore to now find the value of $50\%$ of $120$ we can write that $50\%$ of $120$ equals $x$.
Now we can calculate $50\%$ of $120$ by multiplying both the numbers this will give us with the required value of $x$.
We can write:
$x=50\%\times 120$
Now we calculated that the value $50\%$ equals $\dfrac{1}{2}$. Om substituting it in the given expression, we get:
$x=\dfrac{1}{2}\times 120$
Now on simplifying, we get:
$x=60$, which is the required solution.

Therefore, we can say that $50\%$ of $120$ is $60$.

Note: Percentage gives us the value of a fraction in terms of $100$. Percent means per century. The formula for calculating the percentage is $\dfrac{part}{whole}\times 100$. A general rule should be remembered whenever a question comes about $50\%$ its value should be substituted as $\dfrac{1}{2}$. It is to be remembered that percentage is a dimensionless number.