RRB NTPC · Question 53
In a firm, the ratio of male and female officers is in the ratio 4 : 7. If 50 male officers and 100 female officers are shifted to another firm, then the ratio of male and female officers becomes 7 : 12. Find the number of male officers before shifting in the firm.
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Answer: (A) 400
Explanation
Let males = 4k, females = 7k. (4k − 50)/(7k − 100) = 7/12 gives 48k − 600 = 49k − 700, so k = 100. Male officers = 400.