Question 632989: a,b and c entered into a partnership investing of Rs 10000 Rs 12000 and 18000 respectively after 4 months b withdrew Rs 2000 and after 6 months a invested Rs 2000 more share a profit 5950 among them at end of the year .
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! profit at the end of the year equals 5950
a invests 10,000 for 6 months
a invests 12,000 for 6 months
b invests 12,000 for 4 months
b invests 10,000 for 8 months
c invests 18000 for 12 months
if you multiply their investments by the number of months they invested, you get investment month dollars which will allow you to split up the pie easily.
example:
i invest 10,000 for 6 months and my partner invests 10,000 for 6 months.
profit at the end of the year = 1,000
my investment month dollars is equal to 6 * 10,000 = 60,000
my partners investment month dollars is equal to 6 * 10,000 = 60,000
total investment month dollars is equal to 60,000 + 60,000 = 120,000
my share of the profit is equal to 60,000 / 120,000 * 1,000 = 500
my partner's share of the profit is equal to 60,000 / 120,000 * 1,000 = 500
basically we split it evenly which is easy to see when we're dealing with 6 months and 6 months.
this is easy to see because it was a nice even split.
the same theory applied to the above problem would result in the following:
partner a does the following:
10,000 for 6 months
12,000 for 6 months
total investment month dollars = 6*10,000 + 6*12,000 = 132,000
partner b does the following:
12,000 for 4 months
10,000 for 8 months
total investment month dollars = 4*12,000 + 8*10,000 = 128,000
partner c does the following:
18,000 for 12 months
total investment month dollars = 18,000*12 = 216,000
total investment month dollars is equal to 132,000 + 128,000 + 216,000 = 476,000
total profit is equal to 5950
partner a's share is 132000/476000 * 5950 = 1650
partner b's share is 128000/476000 * 5950 = 1600
partner c's share is 216000/476000 * 5950 = 2700
total of all profits is equal to 1650 + 1600 + 2700 = 5950
this assumes, of course, that each partner's share of the profit for the year is determined by the amount of money they invested and the period of time they invested it.
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