document.write( "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 . \n" ); document.write( "
Algebra.Com's Answer #398584 by Theo(13342)\"\" \"About 
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profit at the end of the year equals 5950
\n" ); document.write( "a invests 10,000 for 6 months
\n" ); document.write( "a invests 12,000 for 6 months
\n" ); document.write( "b invests 12,000 for 4 months
\n" ); document.write( "b invests 10,000 for 8 months
\n" ); document.write( "c invests 18000 for 12 months
\n" ); document.write( "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.\r
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\n" ); document.write( "\n" ); document.write( "example:\r
\n" ); document.write( "\n" ); document.write( "i invest 10,000 for 6 months and my partner invests 10,000 for 6 months.
\n" ); document.write( "profit at the end of the year = 1,000
\n" ); document.write( "my investment month dollars is equal to 6 * 10,000 = 60,000
\n" ); document.write( "my partners investment month dollars is equal to 6 * 10,000 = 60,000
\n" ); document.write( "total investment month dollars is equal to 60,000 + 60,000 = 120,000
\n" ); document.write( "my share of the profit is equal to 60,000 / 120,000 * 1,000 = 500
\n" ); document.write( "my partner's share of the profit is equal to 60,000 / 120,000 * 1,000 = 500
\n" ); document.write( "basically we split it evenly which is easy to see when we're dealing with 6 months and 6 months.
\n" ); document.write( "this is easy to see because it was a nice even split.
\n" ); document.write( "the same theory applied to the above problem would result in the following:\r
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\n" ); document.write( "\n" ); document.write( "partner a does the following:
\n" ); document.write( "10,000 for 6 months
\n" ); document.write( "12,000 for 6 months
\n" ); document.write( "total investment month dollars = 6*10,000 + 6*12,000 = 132,000\r
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\n" ); document.write( "\n" ); document.write( "partner b does the following:
\n" ); document.write( "12,000 for 4 months
\n" ); document.write( "10,000 for 8 months
\n" ); document.write( "total investment month dollars = 4*12,000 + 8*10,000 = 128,000\r
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\n" ); document.write( "\n" ); document.write( "partner c does the following:
\n" ); document.write( "18,000 for 12 months
\n" ); document.write( "total investment month dollars = 18,000*12 = 216,000\r
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\n" ); document.write( "\n" ); document.write( "total investment month dollars is equal to 132,000 + 128,000 + 216,000 = 476,000\r
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\n" ); document.write( "\n" ); document.write( "total profit is equal to 5950\r
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\n" ); document.write( "\n" ); document.write( "partner a's share is 132000/476000 * 5950 = 1650
\n" ); document.write( "partner b's share is 128000/476000 * 5950 = 1600
\n" ); document.write( "partner c's share is 216000/476000 * 5950 = 2700\r
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\n" ); document.write( "\n" ); document.write( "total of all profits is equal to 1650 + 1600 + 2700 = 5950\r
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\n" ); document.write( "\n" ); document.write( "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.\r
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