A welfare association collected Rs 202500 as donation from the residen

1.	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» Let total residents be a Therefore, each paid Rs. a Total collection = a (a) = a² given, Total Collection = 202500 Hence, a = \(\sqrt{202500}\) = √(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5)a = 2 × 3 × 3 × 5 × 5a = 450 Therefore, Total residents = 450

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»

Let total residents be a

Therefore, each paid Rs. a

Total collection = a (a) = a²

given, Total Collection = 202500

Hence,

a = \(\sqrt{202500}\) = √(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5)a = 2 × 3 × 3 × 5 × 5a = 450

Therefore,

Total residents = 450