Question

What percent of 90 is 120?
A.\[75\% \]
B.\[33\dfrac{1}{3}\% \]
C.\[133\dfrac{1}{3}\% \]
D.None of these

Answer 1

Hint: Here we need to find the required percent value. But here, we need to consider the total value to be 90 and the desired value to be 120. Then we will use the formula to calculate the percentage. The percentage obtained will be equal to the product of the ratio of the desired value to the total value and the number 100. After multiplying the numbers, we will get our required answer.

Formula used:
We will use the formula \[{\rm{percentage}} = \dfrac{{{\rm{value}}}}{{{\rm{total value}}}} \times 100\].

Complete step-by-step answer:
Here we need to find the required percent value.
But here, we need to consider the total value to be 90 and the desired value to be 120.
Here the total value is equal to 90 and the desired value is equal to 120.
Now, we will substitute the all values in the formula of the percentage \[{\rm{Percentage}} = \dfrac{{{\rm{value}}}}{{{\rm{total value}}}} \times 100\]. Therefore, we get
\[{\rm{Percentage}} = \dfrac{{120}}{{90}} \times 100\]
On multiplying the numbers, we get
\[ \Rightarrow {\rm{Percentage}} = \dfrac{{400}}{9}\]
On dividing the number 400 by the number 9, we get
\[ \Rightarrow {\rm{Percentage}} = 133\dfrac{1}{3}\% \]
Thus, the required percentage value is equal to \[133\dfrac{1}{3}\% \].
Hence, \[133\dfrac{1}{3}\% \] of 90 is equal to 120.
Therefore, the correct option is option C.

Note: Percentage formula is used to find the value of something in terms of 100. We need to keep in mind that the percent means per hundred. The percentage formula is used to express a number between the number zero and one. It is also defined as a number that is represented as a fraction of 100. The percentage can also be expressed in terms of the decimal.