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Question
Ramesh, Vivek, and Sunil started a business by investing capital in the ratio 4 : 5 : 6. After 3 months Vivek withdrew all his capital and after 6 months Sunil withdrew all his capital from the business. At the end of the year, Ramesh received ₹ 6,400 as profit. Find the profit earned by Vivek.
Solution
The ratio of their capital is 4 : 5 : 6
Period of investments are in the ratio 12 : 3 : 6
∴ Profit is distributed in the ratio 4 × 12 : 5 × 3 : 6 × 6
48 : 15 : 36
i.e, 16 : 5 : 12
Total 16 + 5 + 12 = 33
Now given that Ramesh profit is ₹ 6400
∴ Ramesh share in the profit`=16/33xx`Total Profit
`6400=16/33xx` Total Profit
Total profit = 13,200
Now Vivek share in the profit =`5/33xx13200`
= Rs 2000
and Sunil share in the profit = `12/33xx13200`
= Rs 4800
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