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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 132 of 200

Q132
ArithmeticRatio, Proportion & Mixtures
A and B started a partnership investing amounts in the ratio 2 : 3. After 6 months, C joined the partnership with an amount equal to that of B. The profit at the end of one year should be distributed among A, B and C in the ratio:
  1. a.2 : 3 : 3
  2. b.4 : 6 : 3
  3. c.2 : 6 : 3
  4. d.4 : 3 : 6

Answer: (B) 4 : 6 : 3

Capital × time: A = 2 × 12 = 24, B = 3 × 12 = 36, C = 3 × 6 = 18. So the profit ratio is 24 : 36 : 18 = 4 : 6 : 3. 2 : 3 : 3 ignores that C was in for only 6 months.