Define the variable.

Here's how to solve the problem:

Step 1: Define the variable. Let $x$ be the number of students in the class.

Step 2: Formulate the equation. According to the problem, each student contributed as many rupees as the number of students. So, each student contributed $x$ rupees. The total amount collected is the product of the number of students and the contribution per student: $Total amount = x \times x = x^2$ We are given that the total amount collected is ₹$2025$. $x^2 = 2025$

Step 3: Solve for $x$. To find the number of students, we need to calculate the square root of $2025$. $x = \sqrt{2025}$ We can find the square root by prime factorization: $2025 = 5 \times 405$ $405 = 5 \times 81$ $81 = 9 \times 9 = 9^2$ So, $2025 = 5 \times 5 \times 9 \times 9 = 5^2 \times 9^2 = (5 \times 9)^2 = 45^2$ Therefore, $x = \sqrt{45^2}$ $x = 45$

Step 4: State the conclusion. The number of students in the class is $45$.

The number of students in the class is $\boxed{45}$.

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