Question 1054148: A, B, and C form a partnership in business, and invests the following amounts:
A; $6000
B; $5000
C; $3000
Their profits were $5600, and is to be divided in proportion to their capital. Determine share of each.
Unsure how to continue. Thank you.
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
total investment = 6000+5000+3000 = 14000
total investment = 14000 dollars
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Person A invested 6000 out of 14000. So their proportion is 6000/14000 = 6/14 = 3/7.
Multiply this fraction by 5600 to find the amount person A gets:
(3/7)*5600 = 2400
So person A gets $2,400
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Person B invested 5000 out of 14000. So their proportion is 5000/14000 = 5/14
Multiply this fraction by 5600 to find the amount person B gets:
(5/14)*5600 = 2000
So person B gets $2,000
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Person C invested 3000 out of 14000. So their proportion is 3000/14000 = 3/14
Multiply this fraction by 5600 to find the amount person C gets:
(3/14)*5600 = 1200
So person C gets $1,200
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Summary:
Person A gets $2,400
Person B gets $2,000
Person C gets $1,200
Notice how their shares add back up to 5600
2400+2000+1200 = 5600
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