A started a business with the capital of Rs 1800. After 4 months B joined with Rs 3600. 6 months after the business started C joined with Rs 1200. If the total profit earned at the end of the year is Rs 1760, then what is the share (in Rs) of A?
Amount invested by A = Rs. 1800 for 12 months
Amount invested by B = Rs. 3600 for 8 months
Amount invested by C = Rs. 1200 for 6 months
=> Ratio of profit of A:B:C = $$(1800\times12):(3600\times8):(1200\times6)$$
= $$216:288:72=3:4:1$$
Total profit = Rs. 1760
$$\therefore$$ A's share = $$\frac{3}{(3+4+1)}\times1760$$
= $$3\times220=Rs.$$ $$660$$
=> Ans - (B)
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