Question

. A school collected * 2304 as fees from its
students. If each student paid as many as
there were students in the school, how many
students were there in the school?
(1) 240
(2) 460
(3) 480
(4) 440
66 34 18
is​

Answer 1

Answer:

480

Step-by-step explanation:

Given, \(₹ 2304\) collected as fees.

Let the number of students be \(x\).

According to question,

Each student paid as many paise as there were students in the school.

\(\implies\) paise per student \(= x\)

Hence,

\(x\times x=₹2304\)

\(\implies x^2=2304\times 100\)  [ \(\because ₹ 1 = 100\ paise\)]

\(\implies x^2=230400\)

\(\implies x=\sqrt{230400}\)

\(\implies x=\sqrt{2×2×2×2×2×2×2×2×2×2×3×3×5×5}\)

\(\implies x=\sqrt{2^{10}\times 3^2\times 5^2}\)

\(\implies x=2^5×3×5\)

\(\implies x=480\)

Hence, there were \(480\) students