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A , B and C started a business with capital in the ratio of 8 : 6 : 5. After 8 months A withdrew 25% of his capital while C increased 20% of his investment if at the end of the year total profit of the business is Rs14000 then what is the profit share of C?
12000
7000
4000
8000
6000
- A, B, and C have their initial capital in the ratio of 8:6:5.
- After 8 months, A withdraws 25% of his capital. So, A's effective capital for the year is 8 months of full capital and 4 months at 75%.
- C increases his capital by 20% after 8 months.
- To find the profit share for C, we calculate their relative capital over the year:
- A's adjusted contribution = 8×8+6×4=64+24=88
- B contributes continuously = 6×12=72
- C's adjusted contribution = 5×8+6×4=40+36=76
- Total capital ratios become A:B:C = 88:72:76.
- Total profit is Rs 14000.
- C's share is (76/236)×14000=4504.24, roughly Rs 4000.
- Option:3, 4000 is the closest estimate and therefore correct.
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