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      Question

      Amit, Binod, and Chandu jointly started a business with

      initial investments of Rs. 'x', Rs. 'x + 2000', and Rs. '4x', respectively. After eight months, Amit and Chandu withdrew their respective investments, leaving Binod's investment active for the entire year. At the end of the year, the total profit earned by the business was Rs. (39x + 18,000). Determine the share of Binod in this profit.
      A Rs. 9(x + 6000) Correct Answer Incorrect Answer
      B Rs. 2(x + 2000) Correct Answer Incorrect Answer
      C Rs. 9(x + 2000) Correct Answer Incorrect Answer
      D Rs. 3(x + 2000) Correct Answer Incorrect Answer
      E Rs. 3(x + 6000) Correct Answer Incorrect Answer

      Solution

      Ratio of profit shares of Amit, Binod and Chandu, respectively: = (8 X x) :{12 X (x + 2000) }:(8 X 4x) = 8x:(12x + 24000) :32x = 2x:(3x + 6000) :8x So, profit share of Binod = (3x + 6000) X (39x + 18000)/(2x + 3x + 6000 + 8x) = Rs 9x (x + 2000)

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