A welfare association collected Rs 11,025 as donation from the students.
If each student paid as many rupees as there were students, find the number of these students.
Answers
Given : A welfare association collected Rs 11,025 as donation from the students.
Each student paid as many rupees as there were students,
To find : the number of students.
Solution:
Let say number of students = N
Each student paid as many rupees as there were students,
=> Each student paid = N
Hence total Amount collected = Number of students * Each student Paid
=> total Amount collected = N * N
=> total Amount collected = N² Rs
collected Rs 11,025
N² = 11025
=> N² = 3 * 3 * 5 * 5 * 7 * 7
=> N² = 3² * 5² * 7²
=> N = 3 * 5 * 7
=> N = 105
number of these students. = 105
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