3 people put in money one put 9,000 one put 7,000 one put 4,000 profit was 4,800 how much would the one who put 4,000 get of profit

Question

I really need help with this word problem. I am totally stumped.I realize 

Answer 1

So we start with the total amount and find out the proportion that each person invested -

Total amount - 9,000 + 7,000 + 4,000 = 20,000

 

Then we find out what proportion each one put in

 

9,000/20,000 = 45% or 0.45

7,000/20,000 = 35% or 0.35

4,000/20,000 = 20% or 0.20

 

It's a good idea to make sure your 3 figures add up to 100% or 1.00 before you go further!

 

Then, when you know that the third person put in 20% or 0.20 of the investment, then that person should also get 20% or 0.20 of the profit. So you multiply the profit by the decimal amount:

 

4,800 * 0.20 = $960

 

If you really wanted to be thorough, you could calculate everyone's share to make sure it adds up to the total profit.

 

Answer 2

Profit must be shared in the ratio of investment

 

i.e. 9:7:4

 

Total profit = 4800

Split 4800 in 9:7:4 ratio

 

9x + 7x + 4x = 4800

20x = 4800

x= 240

 

Person investing 4000 will get 4x profit = 4 x 240 = 960

:)