# Math

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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 -

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.

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