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.200252300360
Question
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.200252300360
Solution
The share of each partner in the profit is directly proportional to their capital as well as the time for which the capital is invested.
Step 1: Calculate the capital-time product for each partner. For A, it is 12004 = 4800 For B, it is 14008 = 11200 For C, it is 1000*10 = 10000
Step 2: Calculate the total capital-time product. Total = 4800 + 11200 + 10000 = 26000
Step 3: Calculate the share of each partner. The share of a partner = (capital-time product of the partner / total capital-time product) * total profit
So, the share of B = (11200 / 26000) * 585 = Rs. 252
Therefore, B's share of the profit is Rs. 252.
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