Question
Number of faculties in Physics and Biology in an
institute is in the ratio of 4:7 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?Solution
Let the original number of faculties in Physics and Biology be 4x and 7x respectively According to the question, => (4x + 75)/(7x + 40) = 3/4 => 21x + 120 = 16x + 300 => x = 36 Original number of faculties = 4x + 7x = 11x = 11 × 36 = 396
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