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CAT 2020 Slot 3 · Quant · Ratio and Partnership · easy

B joins him after 4 months with ₹16,000, and C joins after 6 months (from the start) with ₹20,000. What is B's share?

Single correct option

A starts a business with ₹12,000. B joins him after 4 months with ₹16,000, and C joins after 6 months (from the start) with ₹20,000. At the end of the year the total profit is ₹49,000. What is B's share?
  1. A. ₹15,000
  2. B. ₹16,000
  3. C. ₹17,500
  4. D. ₹18,000
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Answer: (B) ₹16,000

Profit is shared in the ratio of capital × time.

A: 12,000 × 12 = 1,44,000
B: 16,000 × 8 = 1,28,000
C: 20,000 × 6 = 1,20,000

Ratio = 144 : 128 : 120 = 18 : 16 : 15 (sum 49).

B's share = 16/49 × 49,000 = ₹16,000.
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