Question

In an annual function of a school $860$ students are present out of $2000$ students. Then find the percentage of presence.
A. $43\%$
B. $33\%$
C. $23\%$
D. None of these

Answer 1

Hint: For this problem, we will use the unitary method. We will find out at first that if for $2000$ students, $860$ are present, then for $1$ person, how many will be. The answer is $\dfrac{860}{2000}$ . Then, we will find out the number of students present for a $100$ students by multiplying it with $100$ . Evaluating and then adding a $\%$ sign, we get the answer.

Complete step by step answer:
In this problem, we are given that the total number of students in a school is $2000$ . But, all of the $2000$ students are not present at the annual function. Instead, only $860$ students out of $2000$ are present at the annual function. Now, the question is what percentage of students of the school are present at the annual function.
Now, since percentage means nothing but “out of $100$ “, we have to find out that if $860$ students being present out of $2000$ is the case, then how many will be present out of $100$ . We will now incorporate the unitary method.

Total students	Students present
$2000$	$860$
$1$	$\dfrac{860}{2000}$ (Though physically impossible)
$100$	$\dfrac{860}{2000}\times 100=43$

We can see from the above table that if there had been a hundred students in total, then the number of students that would have been present is $43$ .
Thus, we can conclude that the percentage of presence is $43\%$
So, the correct answer is “Option A”.

Note: We can also solve the problem in a shortcut way. There is a predefined formula which states how to calculate the percentage easily. It says to first find the ratio of the desired amount to the total amount and then multiply it with $100\%$ . So, the percentage of presence will be $\dfrac{860}{2000}\times 100\%=43\%$ .