Question

Out of $32$ students, $8$ are absent. What percent of the students are absent?
A). $25\% $
B). $25.67\% $
C). $23.45\% $
D). $30.20\% $

Answer 1

Hint: First, we need to know about the concepts of the percentage, so that we are able to solve the given problem easily. The percentage is the mathematical concept which is to measure the proportion of the given values in any term of the original value. The percentage is a relative value that indicates the hundredth parts of any quantity.
Like $70\% $ of $40$ is $28$. This can be obtained by $40 \times \dfrac{{70}}{{100}} = 28$ where $70$ represents the percent, $40$ is the base and $28$ is the part.
Formula used:
Absent students divide the overall students into hundreds. $\dfrac{A}{O} \times 100$ (to find the absent percentage) where A is the absent students and O is the overall students.

Complete step-by-step solution:
Since we know Out of $32$ students, $8$ are absent. Which can be represented as the mathematical percentage of $\dfrac{A}{O} \times 100 = \dfrac{8}{{32}} \times 100$ (percentage of the absent)
Thus, by division operation we have = $\dfrac{1}{4} \times 100$
Again, by division we get = $\dfrac{1}{4} \times 100 = 25\% $
Therefore, option A) $25\% $ is correct.

Note: The operation which we used above is called the division operation. The division is the inverse process of the multiplication which has a dividend and a divisor. Also, we get the remainder while dividing the given two numbers.
Also, to find the present percentage of the given problem we will subtract the absent percentage from the number $100\% $ (because in the proper fraction nothing can exceed this value and hence which is the maximum value)
Hence, we get the present percentage as $100\% - 25\% $ and with the help of the subtraction operation, we get the answer as $75\% $ of the present percentage.