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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?  
    A 585 Correct Answer Incorrect Answer
    B 1296 Correct Answer Incorrect Answer
    C 480 Correct Answer Incorrect Answer
    D 720 Correct Answer Incorrect Answer

    Solution

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

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