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      Question

      'A' and 'B' started a business by investing Rs. '5x' and

      Rs. '4x' respectively. Six months later, 'A' withdrew Rs. 200 from his investment whereas 'B' invested Rs. 400 more. If at the end of the year, profit share of 'A' was Rs. 10,000 out of total profit of Rs. 30,000, then find the initial investment of 'B'.
      A Rs.8,000 Correct Answer Incorrect Answer
      B Rs.7,500 Correct Answer Incorrect Answer
      C Rs.2,000 Correct Answer Incorrect Answer
      D Rs.4,800 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Ratio of profit shares of 'A' and 'B' at the end of the year = {(5x X 6) + (5x - 200) X 6} : {(4x X 6) + (4x + 400) X 6} = (30x + 30x - 1200) : (24x + 24x + 2400) = (60x - 1200) : (48x + 2400) Now, profit share of 'B' = 30000 - 10000 = Rs. 20,000 ATQ; [(60x - 1200) / (48x + 2400)] = 10000 / 20000 So, investment of 'B' = 1200 X 4 = Rs. 4,800

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