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  • Question
  • A starts a business with ? 4000. B joins him after 3 months with ? 8000. C puts a sum of ? 20000 in the business for 2 months only. At the end of year, the business gives a profit of ? 16800. How should the profit be divided amongst them?


  • Options
  • A. A = ? 5040 B = ? 7560, C = ? 4200
  • B. A = ? 7560, B = ? 5040, C = ? 4200
  • C. A = ? 4200, B = ? 7560, C = ? 5040
  • D. A = ? 4200, B = ? 5040, C = ? 7560

  • Correct Answer
  • A = ? 5040 B = ? 7560, C = ? 4200 

    Explanation

    A's share : B's share : C's share
    = Ratio of product of investment and time period of investment
    = 4000 x 12 : 8000 x (12 - 3) : 20000 x 2
    = 4 x 12 : 8 x 9 : 20 x 2
    = 6 : 9 : 5

    Let,
    A's share = 6N
    B's share = 9N
    C's share = 5N

    According to the question,
    6N + 9N + 5N = 16800
    ? 20N = 16800
    ? N = 16800/20 = 840

    ? A's share = 6N = 6 x 840 = ? 5040
    B's share = 9N = 9 x 840 = ? 7560
    C's share = 5N = 5 x 840 = ? 4200


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