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      Question

      'X' and 'Y' invested 'a + 2400' and '2a', respectively,

      to launch their businesses. 'X' withdrew half of his money four months later. Determine 'X's investment if, at the end of the year, 'Y''s profit share was Rs. 24,000 of the overall profit of Rs. 48,000.
      A Rs.6,000 Correct Answer Incorrect Answer
      B Rs.7,030 Correct Answer Incorrect Answer
      C Rs.6,900 Correct Answer Incorrect Answer
      D Rs.3,600 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

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

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