Query about question "In a certain room, $60 \%$ of the..." [1331]

https://www.gregmat.com/problems/quant?problem=in-a-certain-room-60-of-the-people-are-25


In this solution he just says to double the amount of people he proposed at the start so that it would match with one of the answers. I don’t see why he did that other than because it fit one of the answers in the multiple choice?

First of all, do you understand how to start off the problem?