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 ?
Amount invested by S, T and U = Rs. 4200, Rs. 6300 and Rs. 8400
=> Ratio of amount = $$S:T:U=2:3:4$$
Also, S invested for 3 months, T for 6 months and U for 12 months
=> Ratio of profits of S, T and U = $$(2\times3)+(3\times6)+(4\times12)$$
= $$1:3:8$$
Total profit = Rs. 6000
$$\therefore$$ U's share = $$\frac{8}{(1+3+8)}\times6000$$
= $$8\times500=Rs.$$ $$4000$$
=> Ans - (C)
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