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CAT 2018 Slot 1 · Quant · Ratio and Partnership · medium

B joins after 3 months with ₹60,000 and C joins after 4 months with ₹90,000. What is C's share?

Single correct option

A starts a business with ₹45,000. B joins after 3 months with ₹60,000 and C joins after 4 months with ₹90,000. At the end of the year the total profit is ₹1,50,000. What is C's share?
  1. A. ₹45,000
  2. B. ₹50,000
  3. C. ₹54,000
  4. D. ₹60,000
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Answer: (D) ₹60,000

Profit is shared in the ratio of (capital × time).

A: 45,000 × 12 = 5,40,000
B: 60,000 × 9 = 5,40,000
C: 90,000 × 8 = 7,20,000

Ratio = 54 : 54 : 72 = 3 : 3 : 4.

C's share = 4/10 × 1,50,000 = ₹60,000.

Tip: Cancel common factors early (divide everything by 1,80,000 → 3 : 3 : 4).
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Original question written in the CAT 2018 Slot 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake