ABC enter into partnership A contributes 1/3 of whole capital while B

Question

ABC enter into partnership A contributes 1/3 of whole capital while B contributes as much as A and C together contribute. If the profit at the end of year is 84000 how much would each received

 

if assume whole capital is x

so A=x/3

B=x/3+what will be c

 

is this two unknown word problem ? how to solve this

please explain it

Answer 1

In a partnership, each owns a percentage of the company, usually based on the capital or work-in-kind invested.

 

If the profit is $84,000, then A is entitled to 1/3 of it.  "Of" usually means multiply,

       so (1/3)*84000 = A = $28,000

 

Also, we're told that  A+B+C = 84000        [eq1]

     and that              A   + C = B               [eq2]

                            --------------------

                                   B     = 84000 - B       [subtract eq2 from eq1]

                                  2*B = 84000              [add B to both sides]

                                   B    = $42,000             [divide both sides by 2]

 

Plug the value of A and B into eq1:

                      28000 + 42000 + C = 84000

                           70000 + C = 84000

                               C = $14,000             [subtract 70000 from both sides]

 

Checking:

    Is $28,000 + $42,000 + $14,000 = $84,000   [eq1]   ?     yes

    Is $28,000 + $14,000 = $42,000     [eq2]  ?      yes

                               

 

                       

Answer 2

I hope this logic will help you to set up the equation.

 

Since partner B contributes as much as A and C combined, then it is understood that B had to contribute 50% of the total; therefore, A + C would equal the other 50% of the business. Since A owns 1/3, then C owns the remaining portion of the other 50%.  Now we have used logic to find the portion owned by A and by B, so we need to solve for C.

 

(C + A = B)

 

C + 1/3 = 1/2  

 

(subtract each side by 1/3)

 

C + 1/3 - 1/3 = 1/2 - 1/3

 

(convert fractions to the least common denominator)

 

C = 3/6 - 2/6

 

C = 1/6

 

The $84,000 profit (x) should be distributed according to these fractions.