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.

Related Articles A society collected Rs. 92.16. Each member collected as many paise as there were members. How many members were there and how much did each contribute?
The students of a school went on an educational trip. If each student contributes as many rupees as there are students and the total amount collected was Rs. 2704, find the number of students who went for the trip.
A welfare association collected Rs. 202500 as donation from the residents. If each paid as many rupees as there were residents find the number of residents.
On A Rainy Day Out Of 150 Students In A School 25 Were Absent. Find The Percentage Of Students Absent From The School. What Percentage Of Students Were Present?
The students of class VIII of a school donated Rs. 2401 for PM’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.
The management ensures a pupil-teacher ratio of 20:1 in primary school and 30:1 in middle school. If 340 students were there in the primary school and 450 students in the middle school, find the ratio of the primary school teachers to the middle school teachers.
The students of class 8 of a school donated 2401â‚¹ 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.
In school there are 1200 students. If the percentage of boys in a school is \( 60 \% \), then find the of girls.
8649 person were sitting in an auditorium in such a manner that there were as many person in the row as there were rows in the auditorium. How many peson were there in each row of the auditorium
Issues Students Face in High School
On a rainy day, 94 percent of the students were present in a school. If the number of students absent on that day was 174, find the total strength of the school.
For every 52 students, 2 teachers are appointed. How many teachers should be appointed, if a school has 494 students?
There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students.
In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by the students.
If 3 students sit on each of the 16 benches in a class and 4 students are left standing, how many students are there in the class?
Kickstart Your Career
Get certified by completing the course

Get Started