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    Question

    Nisha and Neelam start a business with initial

    investments of ₹p and ₹1.5p, respectively. After six months, Nisha increases her investment by 25% of her initial amount, and Pragya joins the business with an investment of ₹4000. After another six months (i.e., at the end of the first year), Nisha and Neelam reduce their investments by ₹1000 and ₹2000, respectively. At the end of two years, the profit share ratio between Pragya and Neelam is given as 15:q. Determine the value of p in terms of q.
    A 100(q + 6) Correct Answer Incorrect Answer
    B 200(q + 3)/3 Correct Answer Incorrect Answer
    C 400(q + 5)/3 Correct Answer Incorrect Answer
    D 500(q + 1)/3 Correct Answer Incorrect Answer
    E 130(q + 4)/3 Correct Answer Incorrect Answer

    Solution

    Ratio of share of profit of Nisha, Neelam and Pragya =

    = [p*6 + 1.25p*6 + (1.25p - 1000)*12] : [1.5p*12 + (1.5p - 2000)*12] : [4000*18]

    = (28.5p - 12000):(36p - 24000):72000

    Profit share of Pragya to Neelam = 15:q

    72000:(36p - 24000) = 15:q

    400:(3p - 2000) = 1:q

    400q = 3p - 2000

    p = 400(q + 5)/3

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