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      Question

      Number of faculties in Physics and Biology in an

      institute is in the ratio of 3:5 respectively. If 75 more faculties join Physics, while 40 more faculties join Biology, the respective ratio becomes 3:4. Originally what was the total number of faculties in both together?ย ย 
      A 540 Correct Answer Incorrect Answer
      B 240 Correct Answer Incorrect Answer
      C 480 Correct Answer Incorrect Answer
      D 400 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ย ATQ, Let the original number of faculties in Physics and Biology be 3x and 5x respectively According to the question,ย ย  => (3x + 75)/(5x + 40) = 3/4 => 15x + 120 = 12x + 300 => x = 60 Original number of faculties = 3x + 5x = 8x = 8 ร— 60 = 480

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