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    Question

    P started a business investing Rs.15000. After 4 months,

    Q joined her with the capital of Rs.20000. After another 6 months, R joined them with the capital of Rs.30000. At the end of the year, they made a total profit of Rs.6000. Find the share of R.
    A Rs.900 Correct Answer Incorrect Answer
    B Rs.2000 Correct Answer Incorrect Answer
    C Rs.1600 Correct Answer Incorrect Answer
    D Rs.1000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    P invested her capital for 12 months, Q for 8 months and R for 2 months. So, ratio of their capitals = (15000 × 12):(20000 × 8):(30000 × 2) ⇒  180000 : 160000 : 60000 ⇒  9 : 8 : 3 Therefore, R’s share = 6000 x (3/20) = Rs.900

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