In a class, each student donated as many rupees as the number of students in the class. If the total donation was ₹ 2401, find the number of students in the class.

Let the number of students in the class be $x$.
According to the problem, each student donated as many rupees as the number of students in the class.
So, each student donated $x$ rupees.
The total amount donated is the number of students multiplied by the amount each student donated.
Total donation = $x \times x = x^2$.

The total amount donated is given as ₹ 2401.
So, we have the equation:

Find the prime factors of 2401:

So, $2401 = 7 \times 7 \times 7 \times 7 = 7^4$.

Now, find the square root:

The number of students in the class is 49.

The number of students in the class is 49.