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      Question

      'X' and 'Y' started a partnership business. 'X' invested

      Rs. 1,800 more than 'Y'. 'X' withdrew after 6 months. If the final profit sharing ratio between X and Y was 3:4, calculate the amount invested by X.
      A Rs.3200 Correct Answer Incorrect Answer
      B Rs.5000 Correct Answer Incorrect Answer
      C Rs.5400 Correct Answer Incorrect Answer
      D Rs.2500 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let Y’s investment be Rs. a.

      Then, X’s investment = a + 1800

      Profit ratio = [(a + 1800) × 6] : [a × 12] = (3a + 5400) : 6a

      ATQ,

      (3a + 5400) : 6a = 3 : 4

      ⇒ 4 × (3a + 5400) = 3 × 6a

      ⇒ 12a + 21600 = 18a

      ⇒ 6a = 21600

      ⇒ a = 3600

      Investment of X = 3600 + 1800 = Rs. 5,400

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