Question

A society collected $\text{Rs.}9,216$ wherein, each member contributed as many rupees as there were members in the society. Find the number of members.

Answer 1

If there were $a$ members in the society, then each contributes $\text{Rs}$ $a$ as per the given statement.

So, total amount collected $a\times a=9216$

$⟹a=\sqrt{9216}=\sqrt{2^{10}\times 3^2}=2^5\times 3=32\times 3=96$

$\therefore$ There are $96$ members in the society