Question
Number of faculties in Physics and Biology in an
institute is in the ratio of 5:8 respectively. If 120 more faculties join Physics, while 64 more faculties join Biology, the respective ratio becomes 3:4. Originally what was the total number of faculties in both together?Solution
Let the original number of faculties in Physics and Biology be 5x and 8x respectively According to the question, => (5x + 120)/(8x + 64) = 3/4 => 24x + 192 = 20x + 480 => x = 72 Original number of faculties = 5x + 8x = 13x = 13 × 72 = 936
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