SOLUTION: David started a business with a capital of $10000. Six month's later, John joined by investing $ 15000. After 8 months Peter joined by investing $ 20000. They got profit of $ 2900

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Question 903287: David started a business with a capital of $10000. Six month's later, John joined by investing $ 15000. After 8 months Peter joined by investing $ 20000. They got profit of $ 2900 at the end of the year. Find the share of Peter in the profit given that their shared their profit in the ratio of their contribution?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
I divided it into three periods
David was the only investors for 6 months so he gets all the profit for that period
10000 for 12 months
15000 for 6 months 1/2
20000 for 4 months 1/3
10000 for 6 months 6/12 1450 d 1/2 of the year
john and david were the only investors for 2 months 1/6 of the year
10000+15000 for 2 months 2/12 483.33
david had 2/5 and john had 3/5 of the investment
d 10/25=2/5 96.66*2 193.33
j 15/25=3/5 96.66*3 290.00
all three were investors for the last four months 1/3 of the year
10000+15000+20000 for 4/12 966.67
proportion of the investments
d 10/45 j 15/45 p 20/45
21.48*10 214.81 d
21.48*15 322.22 j
21.48*20 429.63 p

david =1450+193.33+214.81=$1858.14
john=290+322.22=$612.22
peter =$429.63
That is how I see it.