Question
P, Q and R start a business. P invests Rs 60,000 for 12 months, Q invests Rs 75,000 for 10 months, and R invests Rs 90,000 for 8 months. If the total profit is Rs 1,38,600, find R’s share of profit.
Solution
Investment × time: P: 60,000 × 12 = 7,20,000 Q: 75,000 × 10 = 7,50,000 R: 90,000 × 8 = 7,20,000 Ratio P : Q : R = 7.2 : 7.5 : 7.2 Multiply by 10: 72 : 75 : 72 Simplify by 3: 24 : 25 : 24 Sum of parts = 24 + 25 + 24 = 73 R’s share = (24/73) × 1,38,600 1,38,600 / 73 = 1,900 So R’s share = 24 × 1,900 = 45,600.
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