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    Question

    P started a business investing Rs.10000. After 4 months,

    Q joined her with the capital of Rs.15000. After another 4 months, R joined them with the capital of Rs.20000. At the end of the year, they made a total profit of Rs.6400. 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 4 months. So, ratio of their capitals = (10000 × 12):(15000 × 8):(20000 × 4) ⇒  120000 : 120000 : 80000 ⇒  3 : 3 : 2 Therefore, R’s share = 6400 x (2/8) = Rs.1600

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