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    Question

    Number of faculties in Physics and Biology in an

    institute is in the ratio of 2:3 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 585 Correct Answer Incorrect Answer
    B 1296 Correct Answer Incorrect Answer
    C 480 Correct Answer Incorrect Answer
    D 720 Correct Answer Incorrect Answer
    E 252 Correct Answer Incorrect Answer

    Solution

    Let the original number of faculties in Physics and Biology be 2x and 3x respectively According to the question,   => (2x + 60)/(3x + 32) = 3/4 => 9x + 96 = 8x + 240 => x = 144 Original number of faculties = 2x + 3x = 5x = 5 × 144 = 720

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