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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 - Mathematics

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. 

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Solution

Let S be the number of students.
Let r be the amount in rupees donated by each student.
The total donation can be expressed by:
S\[\times\]r = Rs. 2401
Since the total amount in rupees is equal to the number of students, r is equal to S.
Substituting this in the first equation:
S\[\times\]S = 2401
S2 = (7\[\times\]7)\[\times\](7\[\times\]7)
S = 7\[\times\]7 = 49
So, there are 49 students in the class.

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.4 | Q 15 | Page 38
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