Posted by Jennifer on .
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?

Math 
Henry,
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.