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      Question

      P started a business investing Rs.10000. After 5 months,

      Q joined her with the capital of Rs.20000. After another 3 months, R joined them with the capital of Rs.25000. At the end of the year, they made a total profit of Rs.7200. 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 7 months and R for 4 months. So, ratio of their capitals = (10000 × 12):(20000 × 7):(25000 × 4) ⇒  120000 : 140000 : 100000 ⇒  6 : 7 : 5 Therefore, R’s share = 7200 x (5/18) = Rs.2000

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