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The students of Class VIII of a school donated Rs 2401 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.?
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The students of Class VIII of a school donated Rs 2401 for Prime Minis...
Problem Statement
The students of Class VIII donated a total of Rs 2401 to the Prime Minister’s National Relief Fund. Each student contributed an amount equivalent to the total number of students in the class. Our goal is to determine the number of students in the class.
Let’s Define Variables
- Let "n" be the number of students in Class VIII.
Contributions by Each Student
- Each student donated "n" rupees.
- Therefore, the total contribution can be represented as:
Total Donation = Number of Students × Donation per Student
Total Donation = n × n = n^2
Setting Up the Equation
- From the information given:
n^2 = 2401
Finding the Value of n
- To find the number of students, we need to calculate the square root of 2401:
n = √2401
Calculating the Square Root
- Upon performing the calculation:
√2401 = 49
Conclusion
- Thus, the number of students in Class VIII is:
- n = 49
Final Answer
- The total number of students in Class VIII is 49.
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The students of Class VIII of a school donated Rs 2401 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.?
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