Question

33. The students of Class VIII of a school donated Rs 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.
Ry

Answer 1

49

Explanation:

Let there be x students in the class.

Since, donation by each student is equal to the number of students in the class.

So,

Total donations = 2401

`x * x = 2401 \\ \\ {x}^(2) = 2401 \\ \\ x = \pm √(2401) \\ \\ \pm \: 49 \\ \\ \because \: x \: can \: not \: be \: - ve. \\ \\ \therefore \: x = 49`

Thus, the number of students in the class = 49