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Ratio problem

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pavan555 Just gettin' started!
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Ratio problem Post Tue Apr 24, 2012 8:58 am
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    Can you please answer this urgently

    Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $40. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is
    A. 120
    B. 200
    C. 60
    D. 24
    E. 36

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    aneesh.kg GMAT Destroyer!
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    Post Tue Apr 24, 2012 10:12 am
    Tom : Dick : Harry : Total = 100 : 60 : 40 : 200 = T : D : H : 120
    100 : 200 = T : 120, or T = 60
    40 : 200 = H : 120, or H = 24
    T - H = 60 - 24 = 36

    (E) is the answer.

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    Post Tue Apr 24, 2012 4:07 pm
    pavan555 wrote:
    Can you please answer this urgently

    Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $40. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is
    A. 120
    B. 200
    C. 60
    D. 24
    E. 36
    T : D : H = 100:60:40 = 10:6:4 = 5:3:2.
    The sum of the values in the ratio = 5+3+2 = 10.
    The total amount paid = 104+16 = 120.
    Since the total amount paid is 12 times the sum of the values in the ratio, all of the values in the ratio must be multiplied by a factor of 12:
    T : D : H = 12(5:3:2) = 60:36:24.
    Thus, T-H = 60-24 = 36.

    The correct answer is E.

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