There are 3 people sharing a profit (Person A - 22%, Person B 30%, Person C - 48%). If C left, how will A and B share 48% given their current share.I need to formula to get the answer. This can be...

There are 3 people sharing a profit (Person A - 22%, Person B 30%, Person C - 48%). If C left, how will A and B share 48% given their current share.

I need to formula to get the answer. This can be done manually i think via trial and error.

Expert Answers
pohnpei397 eNotes educator| Certified Educator

Okay, so you want A and B to share Person C's 48% in the same proportion as they have shared the original amount of profit. In order to do that, you have to take the amount A and B made together and figure out what percent of that total each of them made.

Between them, they made 52% of the profit. So we have to find out what percent of 52 22 and 30 are.

22/52 = 42.3 and 30/52 = 57.7 So A got 42.3% of what A and B together had and B got 57.7%

So now you have to take the 48% that C had and divide it according to those percentages. 48*.423 = 20.3 and 48*57.7 = 27.7%.

So A should get 22% plus 20.3% more = 42.3 and B should get 30% plus 27.7% more = 57.7

neela | Student

A's share of profit is  22%

B's share of profit is  30%

Since C has left all the 100% shall be shared on 22%:30% Percent ratio only. The crux of the problem is how the remaing 48% of the profit is to be shared between A and B.

So A 's share of profit in 100%:  100*22/(22+30)=42.3077% nearly.

B's share of profit in 100%:  100*30/(22+30)=57.6923%

How they shared 48% of the remaing 48% of C:

A's share of profit in 48% = 42.3077%-22% = 20.3077%

B's share of profit in 48% = 57.6923%-30% = 27.6923%