Question 1194547
A and B contribute 140000 and 180000 respectively in a business partnership of the profit A receive 20% as a manager and the rest is shared in the ratio of the capital what is the ratio of A total share of the profit to B
<pre>Capital invested by A and B: $140,000 and $180,000, respectively
Capital ratio: A:B = 140,000:180,000 = 14:18 = 7:9
Therefore, A's and B's shares of profit are {{{matrix(1,7, 7/(7 + 9), and, 9/(7 + 9), "=", 7/16, and, 9/16)}}}, respectively
After A receives 20%, or .2 of profit for his managerial role, 80% (.8) of profit remains
Of this remaining 80% or .8, A receives: {{{matrix(1,11, (7/16)(.8), "=", 7(.1)/2, "=", .7/2, "=", ".35,", or, "35%", of, profit)}}}
Of this remaining 80% or .8, B receives: {{{matrix(1,11, (9/16)(.8), "=", 9(.1)/2, "=", .9/2, "=", ".45,", or, "45%", of, profit)}}}

Total A receives: 29% + 35% = 55% of profit.
Therefore, <font color = blue><font size  = 4><b>ratio of A's share of profit to B's share of profit is 55:45, or 11:9</font></font></b></pre>