Question

Three individuals form a partnership and agree to divide the profits equally. X invests $4,500, Y invests $3,500 and Z invests $2,000. If the profits are $1,500, how much less does X receive than if the profits were divided in proportion to the amount invested?

Answer 1

Z = $D.
Y = 3500 / 2000 = $1.75D.
X = 4500 / 2000 = $2.25D.
When divided proportionately:
D + 1.75D + 2.25D = 1500.
5D = 1500.
D = 1500 / 5 = $300 = Z.
X = 2.25D = 2.25*300 = $675.
When divided equally:
X = 1500 / 3 = $500.

675 - 500 = $175 Less.

Answer 2

that makes no sense

Answer 3

X = $4500 Y = $3500 Z = $2000
4500 + 3500 + 2000 = 1000
X’s proportion of the investment:
4500 / 10000 = 0.45 -> 45%
If profit divided equally:
2400 / 3 = 800
If profit divided in proportion to the amount invested, X:
2400 x 0.45 = 1080
Difference:
1080 - 800 = 280

Answer: X would receive $280 less if the profits were divided equally compared to if the profits were divided in proportion of the amount invested.