Question
P, Q and R start a business together. P invests Rs 9000 for 12 months, Q invests Rs 12000 for 9 months and R invests Rs 15000 for 6 months. If the total profit at the end of the year is Rs 34000, what is Q’s share of the profit?
Solution
Investment × time: P = 9000 × 12 = 108000 Q = 12000 × 9 = 108000 R = 15000 × 6 = 90000 Ratio P : Q : R = 108000 : 108000 : 90000 Divide by 9000 → 12 : 12 : 10 Divide by 2 → 6 : 6 : 5 Sum of ratio parts = 6 + 6 + 5 = 17 Each part of profit = 34000 ÷ 17 = 2000 Q’s share = 6 × 2000 = 12000
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