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      Question

      Arjun has invested an amount denoted as 'a' for a span

      of 16 months, while Bheem has invested 'a + 5000' for a period of 12 months. Their combined profit stands at Rs. 5000, with Arjun's share being Rs. 2000. Can you determine the original sum that Bheem had invested?
      A Rs.10,200 Correct Answer Incorrect Answer
      B Rs.10,250 Correct Answer Incorrect Answer
      C Rs.10,000 Correct Answer Incorrect Answer
      D Rs.12,250 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Ratio of profits = a × 16:(a + 5000)× 12 = 4a:(3a + 15000) According to the question, (5000 × 4a)/(7a + 15000) = 2000 Or, 20000a = 14000a + (15000 × 2000) Or, a = {(15000 × 2000)/6000} = Rs. 5000 Amount invested by Bheem = (a + 5000) = Rs.10,000

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