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      Question

      X and Y started a business with capital investments of

      Rs.5000 and Rs.4000 respectively. After 6 months, X left the business. Y increased his capital by 50% and Z joined with Rs.7000. If the total annual profit was Rs.18300, what will be Z's share of the profit?
      A Rs.5825 Correct Answer Incorrect Answer
      B Rs.5667 Correct Answer Incorrect Answer
      C Rs.3588 Correct Answer Incorrect Answer
      D Rs.6643 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Profit ratio of X, Y and Z =

      = (5000 × 6) : [(4000 × 6) + (6000 × 6)] : (7000 × 6)

      = 30000 : (24000 + 36000) : 42000

      = 30000 : 60000 : 42000

      = 5 : 10 : 7

      Z’s profit share =

      = 18300 × 7 / (5 + 10 + 7)

      = 18300 × 7 / 22

      = Rs.5825

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