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

Divided proportionally,

9x+7x+4x=1500
x=75
so X:Y:Z = 675:525:300

So, 675-500 = 175 less

Answer 2

Total invested = 10,000
X = 4500/10000 = 45%
y = 3500/10000 = 35%
z = 2500/10000 = 255

1500 profits equally + 500 each
As percentage of investment
X = 45% X 1500 = 675
675 - 500 = 175 LESS