A, B and C enter into partnership. A advances Rs.1200 for 4 months, B Rs. 1400…
2026
A, B and C enter into partnership. A advances Rs.1200 for 4 months, B Rs. 1400 for 8 Months and C Rs.1000 for 10 months. They gain Rs.585 altogether. Find the share of B.
- A.
Rs. 195
- B.
Rs. 212
- C.
Rs. 225
- D.
Rs.252
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Correct answer: D
In a partnership, when partners invest different amounts of capital for different time periods, the profit is shared in the ratio of the product of each partner's capital and the time for which it was invested (Capital × Time), not in the ratio of capital alone or time alone.
Capital × Time for A = 1200 × 4 = 4800
Capital × Time for B = 1400 × 8 = 11200
Capital × Time for C = 1000 × 10 = 10000
Ratio A : B : C = 4800 : 11200 : 10000 = 12 : 28 : 25 (dividing each term by 400)
Sum of ratio parts = 12 + 28 + 25 = 65
Share of B = (28/65) × 585 = Rs 252
Cross-check: Share of A = (12/65) × 585 = Rs 108, and Share of C = (25/65) × 585 = Rs 225. Sum of all three shares = 108 + 225 + 252 = 585, which matches the total profit, confirming the shares are correct.