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      Question

      'A' started a firm by investing Rs. 6,000. After 4 months,

      'B' joined with an amount Rs. 1,000 more than 'A'. After 4 more months, 'C' joined with Rs. 8,000. At the end of 16 months, if A’s profit is Rs. 1,200, what is C’s profit share?
      A Rs.800 Correct Answer Incorrect Answer
      B Rs.532 Correct Answer Incorrect Answer
      C Rs.720 Correct Answer Incorrect Answer
      D Rs.615 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Investment of 'B' = 6,000 + 1,000 = Rs. 7,000

      Time for which 'B' invested = 16 - 4 = 12 months

      Time for which 'C' invested = 16 - 4 - 4 = 8 months

      Ratio of profit share of 'A', 'B' and 'C' respectively:

      = (6,000 × 16) : (7,000 × 12) : (8,000 × 8)

      = 96,000 : 84,000 : 64,000

      = 12 : 10.5 : 8

      = 24 : 21 : 16

      Therefore, profit share of 'C' = (16 / 24) × 1,200 = Rs. 800

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