SOLUTION: a,b and c are partner who share profit in the ratio of their capital as A's capital is 5000 and B's is 25000 in 2006 profit was3500 in which C's share was 1500 find C's capital

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Question 1132272: a,b and c are partner who share profit in the ratio of their capital as A's capital is 5000 and B's is 25000 in 2006 profit was3500 in which C's share was 1500 find C's capital
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let "x" be the C's capital (the value under the question).


Then you have this equation (proportion) from the condition


    x%2F%285000%2B25000%2Bx%29 = 1500%2F3500,     (1)


or, equivalently


    x%2F%285000%2B25000%2Bx%29 = 3%2F7.


Cross-multiply and then simplify and solve for x:


    7x = 3*(5000+25000+x)


    7x = 90000 + 3x


    4x = 90000  ====>  x = 90000%2F4 = 22500.     ANSWER


CHECK.  Substitute the found value of x into equation (1)

        22500%2F%285000%2B25000%2B22500%29 = 22500%2F52500 = 45%2F105 = 3%2F7.    ! Correct !

Solved.


Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


C's share of the profit was 1500/3500 = 3/7.

So together A's and B's shares were 4/7.

C's share of the profit was 3/4 of the total of A's and B's shares, so C's capital was 3/4 of the total of A's and B's capital.

The total of A's and B's capital was 5000+25000 = 30000; so C's capital was 3/4 of 30000, which is 22500.