Question

In aid of charity, every student in a class contributes as many rupees as the number of students in that class. with the additional contribution of rs. 2 by one student only, the total collection is rs. 443. then how many students are there in the class?

Answer 1

Let the number of students in class be N
Earlier, each student will give Rs. N
Earlier total collection was
(number of students) x (each's contribution)
(N) x (N) = N²
Now, one student's contribution is increased by 2, so
So, total collection now = 
N x N + 2 = 443
N² + 2 = 443
N² = 443 - 2
N² = 441
so, N = 21²
N = 21 or -21
But number of students cant be negative, so
N = 21
Therefore, number of students = 21

Answer 2

Answer:

There are 21 students in the class.

Step-by-step explanation:

Let x be the number of students

We are given that every student in a class contributes as many rupees as the number of students in that class.

1 student contribute amount = x

So, x students contribute amount =$x^2$

We are given that with the additional contribution of rs. 2 by one student only, the total collection is rs. 443

So, $x^2+2=443$

$x^2=441$

$x=\sqrt{441}$

$x=\pm 21$

Since number of students cannot be negative

Hence there are 21 students in the class.