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      Question

      Number of faculties in Physics and Biology in an

      institute is in the ratio of 5:8 respectively. If 60 more faculties join Physics, while 32 more faculties join Biology, the respective ratio becomes 3:4. Originally what was the total number of faculties in both together?
      A 936 Correct Answer Incorrect Answer
      B 480 Correct Answer Incorrect Answer
      C 702 Correct Answer Incorrect Answer
      D 396 Correct Answer Incorrect Answer
      E 468 Correct Answer Incorrect Answer

      Solution

      Let the original number of faculties in Physics and Biology be 5x and 8x respectively According to the question, => (5x + 60)/(8x + 32) = 3/4 => 24x + 96 = 20x + 240 => x = 36 Original number of faculties = 5x + 8x = 13x = 13 × 36 = 468

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