Question

The students of Class $VIII$ of a school donated $Rs.2401$ in all, for Prime Minister’s National Relief Fund.

Each student donated as many rupees as the number of students in the class.

Find the number of students in the class.

Answer 1

Let us assume that the number of students be $=n$

So, Each Student has donated $Rsn$

Hence, Total amount donated $=nxn$

That indicates $nxn=2401$

$\begin{array}{rcl}{n}^2& =& 2401\\ n^2& =& 7\times 7\times 7\times 7\\ n^2& =& (7\times 7)\times (7\times 7)\\ n^2& =& 49\times 49\\ n& =& \sqrt{(49\times 49)}\\ n& =& 49\end{array}$

Therefore, The number of students $=49$