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system
calculating profits for a private fund
user
one way i heard of, from a friend who ran a similar fund as yours, is to calculate $days of investment and divide the investment as accordingly.  for example, if i invested 10$ for 10 days and you have invested 20$ for 5 days. at the end of the 10th day my $day = 10*10=100, while your $day=20*5=100. if the investement has grown to 100$, the i should get $100/(100+100)*100=$50, you also should get the same. this i guess is equitable, you could try dividing the corpus with above method. it consideres the amount invested as well as the time invested for. i think by the above method, you could also handle the inbetween withdrawals.
assistant