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      Question

      Number of faculties in Physics and Biology in an

      institute is in the ratio of 5:7 respectively. If 45 more faculties join Physics, while 24 more faculties join Biology, the respective ratio becomes 3:4. Originally what was the total number of faculties in both together?
      A 1240 Correct Answer Incorrect Answer
      B 1264 Correct Answer Incorrect Answer
      C 1180 Correct Answer Incorrect Answer
      D 1296 Correct Answer Incorrect Answer
      E 1280 Correct Answer Incorrect Answer

      Solution

      Let the original number of faculties in Physics and Biology be 5x and 7x respectively According to the question, => (5x + 45)/(7x + 24) = 3/4 => 21x + 72 = 20x + 180 => x = 108 Original number of faculties = 5x + 7x = 12x = 12 × 108 = 1296

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