Question

The students of class 8 of a school donated rs 2401 in all,for prime ministers national relief fund. each student donatsd as many rupees as the number of students in a class. find the number of students in the class?

Answer 1

It is given that each student donated as many rupees as the number of students of the class. Number of students in the class will be the square root of the amount donated by the students of the class.

The total amount of donation is Rs 2401.

Number of students in the class =  

2401=

∴∴  

Hence, the number of students in the class is 49.

Answer 2

${\huge{\fcolorbox{cyan}{lime}{\fcolorbox{yellow}{blue}{\sf{\color{yellow}{QuesTion:- }}}}}}$

The students of class VIII of a school donated £2401 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.

$</p><p>{\huge{\fcolorbox{fuchsia}{lime}{\fcolorbox{yellow}{blue}{\sf{\color{yellow}{AnsWer:- }}}}}}$

Let X be the no. of students in the class + Total money donated by them.

$\implies \tt{x \times x = 2401}$

$\implies \tt{ {x}^{2} = 2401}$

$\implies \tt{ x = \sqrt{2401} }$

$\implies \tt{ x = 7 \times 7 \times 7 \times 7 }$

$\implies \tt{ x = {7}^{2} }$

$\implies \tt{ x = {49}}$

Number of students in class is 49.