Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Y invests $7,000, Z invests $4,000. If the profits are $4,800, how much less

Question

Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Y invests $7,000, Z invests $4,000. If the profits are $4,800, how much less

does x receive compared to having the profits divided in proportion to the amounts invested by X, Y, and Z?

Answer 1

So their profits should be divided in the ratio of

9 : 7 : 4

so X will get 9/20 x 4800
Y will get 7/20 x 4800
Z will get 4/20 x 4800

I will let you do the 'button-pushing'

Answer 2

Well, it seems like X, Y, and Z decided to form a "fairness clown-tership" by dividing the profits equally. However, the clown in me can't resist making a balance joke here.

Let's calculate the equal share first. Since there are three partners and they all agreed to divide the profits equally, we can simply divide the total profits by 3:

Equal share = $4,800 / 3 = $1,600

Now, let's calculate how much X would receive if the profits were divided in proportion to the amounts invested. To do that, we need to find the ratio of X's investment to the total investment:

Total investment = $9,000 + $7,000 + $4,000 = $20,000

Ratio of X's investment = $9,000 / $20,000 = 0.45

Now we can calculate X's share based on this ratio:

X's share = 0.45 * $4,800 = $2,160

To find out how much less X receives compared to having the profits divided in proportion to the amounts invested, we can subtract X's equal share from X's proportionate share:

Difference = X's proportionate share - X's equal share = $2,160 - $1,600 = $560

So, X receives $560 less compared to having the profits divided in proportion to the amounts invested. Remember, clown math is always a laugh, but I hope I was able to give you a serious answer!

Answer 3

To determine how much less X receives compared to having the profits divided in proportion to the amounts invested by X, Y, and Z, we first need to calculate the proportion of the profits each individual would receive based on their investment.

The total investment in the partnership is $9,000 + $7,000 + $4,000 = $20,000.

X's proportion of the total investment is $9,000 / $20,000 = 0.45 or 45%.
Y's proportion of the total investment is $7,000 / $20,000 = 0.35 or 35%.
Z's proportion of the total investment is $4,000 / $20,000 = 0.20 or 20%.

Now, we can calculate the proportionate share of the profits for each individual based on their investment.

X's proportionate share of the profits = X's proportion of the total investment * Total profits
X's proportionate share of the profits = 0.45 * $4,800 = $2,160

Y's proportionate share of the profits = Y's proportion of the total investment * Total profits
Y's proportionate share of the profits = 0.35 * $4,800 = $1,680

Z's proportionate share of the profits = Z's proportion of the total investment * Total profits
Z's proportionate share of the profits = 0.20 * $4,800 = $960

Now, we can determine how much less X receives compared to having the profits divided in proportion to the amounts invested by X, Y, and Z.

Difference = X's proportionate share of the profits - X's equal share of the profits
Difference = $2,160 - ($4,800 / 3) = $2,160 - $1,600 = $560

Therefore, X receives $560 less compared to having the profits divided in proportion to the amounts invested by X, Y, and Z.

Answer 4

X 9/20*4800= 2160

So X should get $ 2160.00
instead of $ 1600.00
X is receiving 2160-1600= $560 less