S, T and U started a business by investing Rs. 4200, Rs. 6300 and Rs. 8400 respectively. S left the business after 3 months, T left 6 months after the business had started and U remained in the business till one year. At the end of one year the total profit is Rs. 6000. What is the U’s share (in Rs) in the profit?
S, T and U started a business by investing Rs. 4200, Rs. 6300 and Rs. 8400 respectively. S left the business after 3 months, T left 6 months after the business had started and U remained in the business till one year. At the end of one year the total profit is Rs. 6000. What is the U’s share (in Rs) in the profit? Correct Answer 4000
Ratio of profit = Ratio of S’s capital × time : Ratio of T’s capital × time : Ratio of U’s capital × time
⇒ Ratio of profit = 4200 × 3 : 6300 × 6 : 8400 × 12
⇒ Ratio of profit = 1 : 3 : 8
∴ U’s share = 8/(1 + 3 + 8) × 6000 = 8/12 × 6000 = 4000
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Feb 20, 2025