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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 Γ— 12):(16000 Γ— 9):(20000 Γ— 3) β‡’Β  108000 : 144000 : 60000 β‡’ Β 9 : 12 : 5 Therefore, R’s share = 7800 x (5/26) = Rs.1500

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