UPSC CSE 2026 · PYQ · Ratio and Proportion · medium
In two companies A and B, the ratio of male workers to female workers is 13:10 and 7:5 respectively. If the number of female workers in both companies is the same, then what is the ratio of the total number of workers in A to the total number of workers in B?
A.24:23
B.23:24✓ Correct
C.18:17
D.27:18
Explanation
Let female workers in each company = 10k (LCM-friendly). In A: male:female = 13:10, so if females = 10k, males = 13k, total in A = 23k. In B: male:female = 7:5, so if females = 10k (which is 2 × 5), males = 14k, total in B = 24k. Ratio of total in A to total in B = 23k : 24k = 23:24.
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