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  • Question
  • M, N and P invest ? 50000 for a business. M invests ? 4000 more than N and N invest ? 5000 more than P. Out of the total profit of ? 70000, what is the share received by M?


  • Options
  • A. ? 29400
  • B. ? 30000
  • C. ? 35000
  • D. ? 40000

  • Correct Answer
  • ? 29400 

    Explanation

    Let investment of P = ? K
    Then, investment of N of = ? (K + 5000)
    and investment of M = (K + 5000) + 4000 = ? (K + 9000)

    According to the question.
    K + (K + 5000) + (K + 9000) = 50000
    ? 3K + 14000 = 50000
    ? 3K = 50000 - 14000 = 36000
    ? K = 36000/3 = 12000

    Clearly, investment of P = ? 12000
    Investment of N = (K + 5000) = 12000 + 5000 = ? 17000
    Investment of M = (K + 9000) = 12000 + 9000 = ? 21000
    M's share : N's share : P's share = 21000 : 17000 : 12000
    = 21 : 17 : 12

    Hence, M's share = [21/(21 + 17 + 12 )] x 70000
    = (21/50) x 70000 = ? 29400


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    • Options
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