Question
Number of faculties in Physics and Biology in an
institute is in the ratio of 5:8 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? Â STSolution
Let the original number of faculties in Physics and Biology be 5x and 8x respectively According to the question,  => (5x + 75)/(8x + 40) = 3/4 => 24x + 120 = 20x + 300 => 4x = 180 => x = 45 Original number of faculties = 5x + 8x = 13x = 13 × 45 = 585 Â
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