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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 83 of 200

Q83
ArithmeticRatio, Proportion & Mixtures
A, B and C enter into a partnership in the ratio $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$. After 4 months, A increases his share by 50%. If the total profit at the end of one year be ₹ 21,600, then B's share in the profit is
  1. a.₹ 21,000
  2. b.₹ 2,400
  3. c.₹ 3,600
  4. d.₹ 4,000

Answer: (D) ₹ 4,000

Multiplying by 30, the capitals are 105 : 40 : 36. Over the year A's capital-months are 105 × 4 + 157·5 × 8 = 1680, B's 40 × 12 = 480 and C's 36 × 12 = 432, total 2592. B's share = $\frac{480}{2592} \times 21600$ = ₹ 4,000.