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# The students of Class VIII of a school donated ₹ 2401 in all for the 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

**Solution:**

Each student donated as many rupees as the number of students in the class i.e. money donated by each student is equal to the number of students in the class.

Thus, the total amount of donation is equal to the product of the number of students in the class and money donated by each student.

Let the number of students in a class be x

So, money donated by each student is also x (as they donated as much amount as the number of students in the class).

The total amount of donation = ₹ 2401

Total amount of donation = Number of students × Money donated by each student

2401 = x × x

2401 = x^{2}

x = √2401

x = √(7 × 7 × 7 × 7) [By prime factorising 2401]

x = √7^{2} × 7^{2}

x = √(7 × 7)^{2}

x = 7 × 7 = 49

Therefore, the number of students in class is 49.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 6

**Video Solution:**

## The students of Class VIII of a school donated ₹ 2401 in all for the 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

NCERT Solutions for Class 8 Maths Chapter 6 Exercise 6.3 Question 7

**Summary:**

The students of Class VIII of a school donated ₹ 2401 in all for the Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. The number of students in the class is 49.

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