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    Question

    P and Q started a venture by investing Rs. 7000 and Rs.

    5000 respectively. After 6 months, R joined with an investment equal to the average of P and Q. Meanwhile, P took out 30% of his capital. At the end of the year, they made a total profit of Rs. 21420. Find the share of profit earned by R.
    A Rs.4600 Correct Answer Incorrect Answer
    B Rs.5028 Correct Answer Incorrect Answer
    C Rs.3028 Correct Answer Incorrect Answer
    D Rs.4017 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Investment of R = (7000 + 5000)/2 = Rs. 6000

    Ratio of investment:

    P : Q : R = 7000 : 5000 : 6000 = 7 : 5 : 6

    Ratio of profit share:

    P : Q : R = (7 × 6 + 4.9 × 6) : (5 × 12) : (6 × 6)

    = (42 + 29.4) : 60 : 36

    = 71.4 : 60 : 36

    Multiply all by 10 to remove decimal:

    = 714 : 600 : 360

    Simplify by dividing by 6:

    = 119 : 100 : 60

    Therefore, profit share of R = [60 / (119 + 100 + 60)] × 21420 = (60 / 279) × 21420 = Rs. 4600

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