Question
Number of faculties in Physics and Biology in an
institute is in the ratio of 5:8 respectively. If 90 more faculties join Physics, while 48 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 + 90)/(8x + 48) = 3/4 => 24x + 144 = 12x + 360 => x = 54 Original number of faculties = 5x + 8x = 13x = 13 × 54 = 702
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