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.

Answer 1

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
R² = 202500
R² = (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.