Question
Ravi and Raju invest Rs. 40,000 and Rs. 30,000. 70% of
the profit is distributed equally among them. The remaining profit is distributed according to their investment ratio. The difference between their shares is Rs. 6997.8. Find the total profit and the share of each.Solution
Ratio of investment = 40,000: 30,000 = 4:3 Let total profit be 100 units. Equal distribution (70%) = Each gets 35 units. Proportional distribution (30%)-  Ravi gets 4/7 x 30 = 17.14 units,  Raju gets 3/7 ×30= 12.86 units. Total shares-  Ravi = 35 + 17.14 = 52.14 units, Raju = 35 + 12.86 = 47.86 units. Difference-  4.28 units = Rs. 6997.8 1 unit = Rs. 1,635 Total profit = 100 units × Rs. 1,635 = Rs. 163,500 Shares: Ravi = 52.14 units × Rs. 1,635 = Rs. 85,175,  Raju = 47.86 units × Rs. 1,635 =Rs. 78,325
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