Question

Rupesh secures 495 marks out of 750 in his annual exam examination. Find the percentage of marks obtained by him.

Answer 1

Hint: In this question, by percentage we mean the representation of a number or ratio in the form of fractions of 100. Percentage can be expressed as,
 $ {\rm{Percentage}} = \dfrac{{{\rm{Actual}}\;{\rm{Value}}}}{{{\rm{Total}}\;{\rm{Value}}}} \times 100 $
In order to find the percentage marks obtained by Rupesh we will need to divide the marks obtained by him in the examination with the total marks and then we will have to multiply the obtained result with 100.

Complete step-by-step answer:
Given:
Total marks in the examination is $ 750 $ .
Marks obtained by Rupesh is \[495\].
In order to find the percentage, we will have to find the ratio of the marks obtained by the Rupesh and the total marks in the examination. Then we will multiply the result with 100. This can be expressed as,
 $ {\rm{Percentage}}\;{\rm{Marks}} = \dfrac{{{\rm{\text Marks}}\;{\rm{\text Obtained}}}}{{{\rm{\text Total}}\;{\rm{\text Marks}}}} \times 100 $
Now we will substitute \[495\] for marks obtained and \[750\] for total marks in the above expression to find the percentage of marks obtained by Rupesh.
 $ \begin{array}{c}
{\rm{\text Percentage}}\;{\rm{\text Marks}} = \dfrac{{{\rm{495}}}}{{{\rm{750}}}} \times 100\\
 = 0.66
\end{array} $
Now, to find the percentage value we will multiply the value with 100.
 $ \begin{array}{c}
{\rm{\text Percentage}}\;{\rm{\text Marks}} = 0.66 \times 100\\
 = 66\%
\end{array} $
Therefore, the percentage of marks obtained by Rupesh is \[66\% \].

Note: The percentage is calculated by finding the ratio of actual and the total value. Here, the actual value is marks obtained and the total value is total marks. When the ratio is multiplied by 100, we get the required percentage. Make sure to substitute the respective values in the percentage formula.