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      Question

      Billu and Bhaga jointly established a business, with

      Billu investing Rs. 'x + 2400' and Bhaga investing Rs. '2x'. After four months, Billu withdrew half of his initial capital. By the end of the year, Bhaga's share of the total profit of Rs. 48,000 amounted to Rs. 24,000. Determine the initial investment made by Billu.
      A Rs. 4,800 Correct Answer Incorrect Answer
      B Rs. 1,800 Correct Answer Incorrect Answer
      C Rs. 2,400 Correct Answer Incorrect Answer
      D Rs. 3,000 Correct Answer Incorrect Answer
      E Rs. 3,600 Correct Answer Incorrect Answer

      Solution

      Ratio of profit shares of Billu and Bhaga after 1 year: = {(x + 2400) X 4 + (x + 2400) X 0.5 X 8}:(2x X 12) = {(4x + 9600) + (4x + 9600) }:24x = (8x + 19,200) :24x = (x + 2400) :3x So, profit share of 'B' = 48000 - 24000 = Rs. 24,000 ATQ; {(x + 2400) /3x} = (24000/24000) Or, x + 2400 = 3x Or, 2400 = 2x So, 'x' = 1200 So, investment of Billu = 1200 + 2400 = Rs. 3,600

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