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    Question

    P started a business investing Rs.9000. After 3 months,

    Q joined her with the capital of Rs.16000. After another 6 months, R joined them with the capital of Rs.20000. At the end of the year, they made a total profit of Rs.7800. Find the share of R.
    A Rs.900 Correct Answer Incorrect Answer
    B Rs.1200 Correct Answer Incorrect Answer
    C Rs.1500 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 9 months and R for 3 months. So, ratio of their capitals = (9000 × 12):(16000 × 9):(20000 × 3) ⇒  108000 : 144000 : 60000 ⇒  9 : 12 : 5 Therefore, R’s share = 7800 x (5/26) = Rs.1500

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