Question

A school collected Rs 2304 as fees from its students. If each student paid as many paise as there were students in the school, how many students were there in the school?

Answer 1

Step-by-step explanation:

let's assume that there were X number of students present in the school

Now according Tu the

x*x = 230400

x2 = 230400

x = 230400

x = 480 paise = Rs 4.8

so each student paid rupees 4.8 and there were 480 number of students

Answer 2

Given: A school collected Rs. 2,304 as fees from its students

          Amount paid by each student (in paisa) = Number of students in the school

To find: Number of students in the school

Let: Number of students be $x$

Solution: Given that each student paid as many paisa as there were students in the school.

Total amount collected = Rs. 2,304 or 230400 paisa

Now, if one student paid $x$ paisa, $x$ students must have paid $(x * x)$ i.e. $x^{2}$ paisa in total.

∴ $x^{2} = 230400$

⇒ $x = \sqrt{230400}$

⇒ $x =$ ± $480$

Ignoring -ve value as number of students and money can't be negative.

⇒ $x = 480$

Hence, there were 480 students in the school.