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      Question

      Nikhil and Swati began a business with investments in a 5:3

      ratio. After 6 months, Tarun entered the partnership with an investment equal to the average of both. If the total profit after 18 months was Rs. 3,24,000, what was Swati’s share of the profit?
      A Rs.1,25,320 Correct Answer Incorrect Answer
      B Rs.2,56,320 Correct Answer Incorrect Answer
      C Rs.2,04,000 Correct Answer Incorrect Answer
      D Rs.5,36,300 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let initial investments be Rs. ‘5x’ and Rs. ‘3x’.

      Tarun’s investment = (5x + 3x)/2 = Rs. ‘4x’

      Profit ratio = (5x × 18) : (3x × 18) : (4x × 12) = 90 : 54 : 48

      Simplify → 15:9:8

      So, Swati’s share = 324000 × (9/32) = Rs. 91,125

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