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    Question

    A invested Rs. (P + 900). B entered after 2 months with

    Rs. 4P. If the ratio of B’s profit share to A’s is 10:7, find (P − 225).
    A 4,200 Correct Answer Incorrect Answer
    B 8,500 Correct Answer Incorrect Answer
    C 3,750 Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Ratio of profit share of A and B respectively:

    = [(P + 900) × 12] : [4P × 10]

    = (12P + 10800) : 40P

    = (3P + 2700) : 10P (dividing by 4)

    ATQ;

    (3P + 2700) : 10P = 7 : 10

    Or, 3P + 2700 = 7P

    Or, 4P = 2700

    Or, P = 675

    Required value = 675 − 225 = 450

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