A and B start a business with investments of Rs.5000 and Rs.4500 respectively.After 4 months,A takes out half of his capital.After two more months,B takes out one-third of his capital while C joins them with a capital of Rs.7000.At the end of a year,they earn a profit of Rs.5080.Find the share of each member in the profit.  Choose the correct choice from the following choices:
A) A - Rs.1400,B - Rs.1900,C - Rs.1780  B) A - Rs.1600,B - Rs.1800,C - Rs.1680  C) A - Rs.1800,B - Rs.1500,C - Rs.1780  D) A - Rs.1680,B - Rs.1600,C - Rs.1800  E) None of these
Solution   A : B : C =(5000x4+2500x8) : (4500x6+3000x6): (7000x6)   = 40000 : 42000 : 45000 = 4 : 42 : 45.   A’s share = Rs. (5080x40/127) = Rs. 1600.   B’s share = Rs. (5080x45/127) = Rs. 1800.   C’s share = Rs. (5080x42/127) = Rs. 1680. Answer A - Rs.1600,B - Rs.1800,C - Rs.1680
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A and B start a business with investments of Rs.5000 and Rs.4500 respectively.After 4 months,A takes out half of his capital.After two more months,B takes out one-third of his capital while C joins them with a capital of Rs.7000.At the end of a year,they earn a profit of Rs.5080.Find the share of each member in the profit.