Q6 of 85 Page 133

A school collected ` 2601 as fees from its students. If fee paid by each student and number students in the school were equal, how many students were there in the school?

Given, 2601 fees collected from the students. We need to find out number of students and fees paid by each student.

Let us assume the number of students in a school = x.


Since, we know that fee paid by each student = number of students in the school.


Total number of fees collected by the student = x × x = x2


Calculate x value.


∴ x2 = 2601


Calculate prime factors for 2601.



We know from pairing the factors


⇒ x2 = (51 × 51)


⇒X = 51


Hence, the number of students in the school is 51.


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