Question 509795: Three individuals form a partnership and agree to divide the profits equally. X invests 9,000, Y invests 7,000 and Z invests 4,000. If the profits are 4800, how much less does X receive than if the profits were divided in proportion to the amount invested? Answer is 560. How is this arrived at is my question. I need the mechanics of this solution. Please and thank you sincerely, Claudette
Found 2 solutions by ankor@dixie-net.com, MathTherapy: Answer by ankor@dixie-net.com(22740) (Show Source): Answer by MathTherapy(10555) (Show Source):
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Three individuals form a partnership and agree to divide the profits equally. X invests 9,000, Y invests 7,000 and Z invests 4,000. If the profits are 4800, how much less does X receive than if the profits were divided in proportion to the amount invested? Answer is 560. How is this arrived at is my question. I need the mechanics of this solution. Please and thank you sincerely, Claudette
Since 3 individuals decide to invest and divide the profits equally, then each will get 1/3 of the profits
Since the profits are $4,800, then each will receive , or , or $1,600
However, if they’d decided to divide the profits based on the proportion of each individual’s investment, then:
X would get , or , or of profits, or , or $2,160
As seen X would get $2,160 – $1,600, or $ less than if the profits were divided according to the proportion of money he/she /it invested.
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