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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 Γ— 12):(15000 Γ— 8):(20000 Γ— 4) β‡’ Β 120000 : 120000 : 80000 β‡’ Β 3 : 3 : 2 Therefore, R’s share = 6400 x (2/8) = Rs.1600

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