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?

Given:

A school collected Rs. 2304 as fees from its students.

Each student paid as many paise as there were students in the school.

To do:

We have to find the number of students in the school.

Solution:

Let the number of students in the school be $x$.

This implies,

The fee paid by each student $=Rs.\ x$

Therefore,

$x\times x=2304$

$x^{2}=2304$

$x=\sqrt{2304}$      (Prime factorisation of 2304 is $2 \times 2 \times 2 \times 2 \times 2 \times2\times2 \times 2 \times 3 \times 3$)

$=2 \times 2 \times 2 \times 2 \times 3$

$=48$

Therefore, the number of students is 48.

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Updated on: 10-Oct-2022

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