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CAT 2017 Slot 2 · Quant · Ratio and Partnership · medium

After 4 months B joins with ₹60,000, and 6 months after the start C joins with ₹90,000. What is C's share of the profit (in ₹)?

Numerical answer

A starts a business with ₹40,000. After 4 months B joins with ₹60,000, and 6 months after the start C joins with ₹90,000. At the end of the year the total profit is ₹75,000. What is C's share of the profit (in ₹)?
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Answer: 27000

Profit is shared in the ratio of capital × time.

A: 40,000 × 12 = 4,80,000
B: 60,000 × 8 = 4,80,000
C: 90,000 × 6 = 5,40,000

Ratio A : B : C = 480 : 480 : 540 = 8 : 8 : 9 (total 25).

C's share = 9/25 × 75,000 = ₹27,000.
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