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      Question

      X started a business with Rs.12000. After 6 months, Y

      joined with x% of X’s capital. At the end of the year, Y’s share in the Rs.36000 total profit was Rs.6000. Find x.
      A 12% Correct Answer Incorrect Answer
      B 20% Correct Answer Incorrect Answer
      C 40% Correct Answer Incorrect Answer
      D 90% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Profit share of X : Y = (12000 × 12) : (x% of 12000 × 6) = 144000 : (x × 120 × 6) = 1200 : 6x

      According to question,

      Image

      ⇒ 6x / (1200 + 6x) = 1 / 6

      ⇒ 36x = 1200 + 6x

      ⇒ 30x = 1200

      ⇒ x = 40

      So, the value of x = 40%

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