Question

If 20 students out of \[80\] appeared for a test, the percentage of students who did not appear out of the total is:

Answer 1

Hint: Here, in the question, it is given that 20 students out of \[80\] appeared for a test and we are asked to find the percentage of students who did not appear out of the total students. The percentage can be calculated by using the formula, Percentage= \[100 \times \dfrac{{part}}{{whole}}\], where part is the number for which percentage has to be calculated and whole is the total number out of which the percentage has to be calculated.

Complete step-by-step solution:
Given that, the number of students who appeared for test= \[20\] \[\]
Total number of students= \[80\]
Now, we can calculate the number of students who did not appear for the test by subtracting the number of students who appeared for the test from the total number of students.
Then, the number of students who did not appear for test
= \[80 - 20\]
\[ = 60\]
Now, to calculate the percentage of the students who did not appear for test, we will use the formula,
Percentage= \[100 \times \dfrac{{part}}{{whole}}\]
Therefore, required percentage= \[100 \times \dfrac{{60}}{{80}}\% \]
\[ = 75\% \]
Hence, \[75\% \] of the total students did not appear for the test.

Note: The percentage is another way of writing ratio. Percent is made up of two words “per” and “cent”. Cent means hundred. Therefore, “percent” means “per hundred”. Whenever we face questions on this topic, we should remember this. Here, in this question, \[75\% \]of the total students did not appear for the exam, it means out of every four students, three did not appear for the test.