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
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.
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