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      Question

      A total of Rs. ‘K’ was to be distributed among X, Y,

      and Z in ratio of 6:5:7 respectively but due to some reason the money was falsely distributed in ratio of 5:6:7 respectively such that Y received Rs. 1200 more. Find the value of 2K.
      A ₹43200 Correct Answer Incorrect Answer
      B ₹42000 Correct Answer Incorrect Answer
      C ₹40800 Correct Answer Incorrect Answer
      D ₹44400 Correct Answer Incorrect Answer
      E ₹45600 Correct Answer Incorrect Answer

      Solution

      Let the total amount [K] be Rs. 18x
      So, amount which Y was supposed to receive = 18x × (5/18) = Rs. 5x
      Amount which was actually received by Y = 18x × (6/18) = Rs. 6x
      ATQ,
      6x - 5x = 1200
      ⇒ x = 1200
      Also,
      K = 18x = 18 × 1200 = Rs. 21600
      Therefore, required value,
      2K = 2 × 21600 = ₹43200

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