Question
Number of faculties in Physics and Biology in an institute is in the ratio of 2:5 respectively. If 105 more faculties join Physics, while 56 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 2x and 5x respectively According to the question, => (2x + 105)/(5x + 56) = 3/4 => 15x + 168 = 8x + 420 => x = 36 Original number of faculties = 2x + 5x = 7x = 7 × 36 = 252
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