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?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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