The ratio of male to female workers in two companies A and B is 13 : 10 and 7 : 5, respectively. If both the companies have the s…

Quantitative Aptitude ·Previously asked in UPSC Civil Services Examination 2026

View the full solved paper: GS Paper II

Question

The ratio of male to female workers in two companies A and B is 13 : 10 and 7 : 5, respectively. If both the companies have the same number of female workers, then what is the ratio of the total number of workers in A to those in B?

  1. A. 24 : 23
  2. B. 23 : 24 (Correct answer)
  3. C. 18 : 17
  4. D. 27 : 18

Correct Answer

Option B — 23 : 24

Detailed Solution & Explanation

The correct answer is Option B (23 : 24).

Key Points

  • A has male : female = 13 : 10, B has 7 : 5. Equalise the female counts: A → 13 : 10, B → 14 : 10 (multiplying B by 2).
  • Totals: A = 13 + 10 = 23, B = 14 + 10 = 24.

Additional Information

  • With the same number of women in both firms, the total-worker ratio A : B = 23 : 24 → Option B.