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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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