UPSC CDS 2 2020 Math Paper

We have, three persons start a business with capitals in the ratio =

1

3

:

1

4

:

1

5

= 20:15:12
So, first investment = 20x
second investment = 15x
third investment = 12x
Given that first withdraws half its capitals after 4 months.
So, first investment after 12 months = 20x×4+10x×8=160x
second investment after 12 months =15x×12=180x
third investment after 12 months =12x×12=144x
Total investment =160x+180x+144x=484x
Total annual profit =96,800‌rs
Then first share =

160x×96800

484x

=32,000 rs.