Question

Rohan gets $ 38 $ out of $ 50 $ in his monthly test of Mathematics. Express his mark in percentage.

Answer 1

Hint: First we have to define what the terms we need to solve the problem are.
In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol %.

Complete step by step answer:
Easy to find the percentage if out of a hundred but how to calculate the percentage if it is not out of \[100\].
Suppose $ 60 $ students in a class and $ 3 $ of them were absent, so we calculate the percentage of students absent $ ? $ \[Percentage = \dfrac{{number{\text{ }}of{\text{ }}subject{\text{ }}which{\text{ }}percent{\text{ }}is{\text{ }}to{\text{ }}found}}{{total{\text{ }}number}} \times 100\% \]
Here percent found is $ 3 $ and total number is $ 60 $
Thus percentage = $ \dfrac{3}{{60}} \times 100\% $ = $ 5\% $ (by simplification)
Therefore, $ 5\% $ students were absent.
By the exact formula from above and solving ways we proceed further with Rohan’s problem
That is, Rohan gets $ 38 $ out of $ 50 $ in his monthly test of Mathematics. So out of $ 50 $ marks Rohan score $ 38 $ marks only, number of subject which percent is to found is $ 38 $ and total number is $ 50 $
Now substitute the know values in the percentage formula we get; $ percentage = \dfrac{{38}}{{50}} \times 100\% $
Thus, dividing hundred by fifty which is $ \dfrac{{100}}{{50}} $ we get $ 2 $ , $ percentage = (38 \times 2)\% $ (multiple $ 38 $ times of $ 2 $ or $ 2 $ times of $ 38 $ we get)
Hence $ percentage = 76\% $ is the percentage of marks that Rohan gets $ 38 $ out of $ 50 $ in his monthly test of Mathematics.

Note: Anything out of hundred becomes a percentage that means a fraction with denominator $ 100 $ can be called as a percentage.
Example; $ \dfrac{{70}}{{100}} $ can be called as $ 70 $ percent. = $ 70\% $ A percentage is more like a fraction. A percentage is denoted by the sign $ \% $ . Suppose out of $ 100 $ students $ 12 $ students were absent, then we say $ 12\% $ of the students were absent.