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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 56 of 200

Q56
ArithmeticRatio, Proportion & Mixtures
The ratio of investments of two partners is 11 : 12 and the ratio of their profits is 2 : 3. If A invests the money for 8 months, find for how much time B invests his money?
  1. a.11 months
  2. b.8 months
  3. c.4 months
  4. d.3 months

Answer: (A) 11 months

Profit is shared in the ratio of investment × time, so (11 × 8) : (12 × t) = 2 : 3. This gives 24t = 264, so t = 11 months. 8 months would make the profit ratio 11 : 12, the same as the investment ratio.