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A started a business. B and C joined him in the first year. Their investments were in the ratio 5:4:7 respectively, and the periods for which they invested were in the ratio 4:3:2 respectively. In the second year, A doubled the investment. B and C continued with the same investment for the same number of months as they did in the first year. The total profit in 2 years was Rs. 14,000. What is B's share of the profit?
- Rs 2500
- Rs 3000
- Rs 3500
- Rs 4000
Correct answer: Rs 3000
Solution
Profit is shared in proportion to capital multiplied by time. Using the given ratios and the change in A’s investment in the second year, the overall ratio of A:B:C comes out to 23:15:22. Therefore B’s share is \(14000 \times \frac{15}{70} = 3000\).
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