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    Question

    A launches a partnership with Rs. (P + 700). B joins

    after 5 months with Rs. 2P. If the ratio of B’s profit share to A’s is 7:8, find (P − 100).
    A 4,200 Correct Answer Incorrect Answer
    B 8,500 Correct Answer Incorrect Answer
    C 3,750 Correct Answer Incorrect Answer
    D 2,200 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Ratio of profit share of A and B respectively:

    = [(P + 700) × 12] : [2P × 7]

    = (12P + 8400) : 14P

    = (6P + 4200) : 7P (dividing by 2)

    ATQ;

    (6P + 4200) : 7P = 8 : 7

    Or, 6P + 4200 = 8P

    Or, 2P = 4200

    Or, P = 2100

    Required value = 2100 − 100 = 2000

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