Chandan, Ramesh and Mohan started the business with the investment in the ratio of 2:3:4 and the investment period of Chandan, Ramesh and Mohan is 8 months, 10 months and 6 months respectively. At the end of business, the difference between the profits shares of Chandan and Mohan is Rs.4000, find the total profit of the business?
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Rs.35000
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Rs.40000
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Rs.42000
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Rs.28000
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None of these
A
Correct answer
Explanation
Profit share ratio = investment ratio × time ratio. Chandan: 2×8 = 16, Ramesh: 3×10 = 30, Mohan: 4×6 = 24. Ratio is 16:30:24 (or 8:15:12). Total ratio units = 35. Difference between Chandan and Mohan = 15 - 8 = 7 units. If 7 units = Rs. 4000, then 1 unit = Rs. 4000/7. Total profit = 35 × (4000/7) = Rs. 35000. The ratio considers both investment amount and time duration.