**Question:**

A welfare association collected Rs 202500 as donation from the residents. If each paid as many rupees as there were residents, find the number of residents.

**Solution:**

Let *R* be the number of residents.

Let *r* be the money in rupees donated by each resident.

Total donation = *R x r *= 202500

Since the money received as donation is the same as the number of residents:

$\therefore r=R$

Substituting this in the first equation, we get:

*R x R* = 202500

*R*2 = 202500

*R*2 = (2 x 2) x (5 x 5) x (5 x 5) x (3 x 3)2

*R* = 2 x 5 x 5 x 3 x 3 = 450

So, the number of residents is 450.