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      Question

      'A' and 'B' started a business by investing Rs. '3x' and

      Rs. '6x' respectively. Four months later, 'A' withdrew Rs. 500 from his investment whereas 'B' invested Rs. 200 more. If at the end of the year, profit share of 'A' was Rs. 8,000 out of total profit of Rs. 28,000, then find the initial investment of 'B'.
      A Rs.3,867 Correct Answer Incorrect Answer
      B Rs.1,500 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,

      Given: A = ₹3x, B = ₹6x After 4 months: A → 3x−500, B → 6x+200 Total profit = ₹28,000, A’s share = ₹8,000 A : B profit = 8000 : 20000 = 2 : 5 A’s share = (3x×4) + (3x−500)×8 = 36x − 4000 B’s share = (6x×4) + (6x+200)×8 = 72x + 1600 Set ratio: (36x − 4000)/(72x + 1600) = 2/5 Solve: 5(36x − 4000) = 2(72x + 1600) 180x − 20000 = 144x + 3200 36x = 23200 → x = 644.44 B’s initial = 6x = 6 × 644.44 = ₹3867

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