'A', 'B' and 'C' started a business by investing their amounts in the ratio of 4:5:6, respectively. After 3 months, 'A' withdrew (1/4)th of his investment and after 6 more months 'C' withdrew 50% of his investment. If the total annual profit received by them together is Rs. 16,200, then find the annual profit share of 'B'.

Let the investments of 'A', 'B' and 'C' be Rs. '4x', Rs. '5x' and Rs. '6x', respectively. 'A' withdrew (1/4)th of his investment after 3 months, so his investment becomes '3x' for the remaining 9 months. 'C' withdrew 50% of his investment after 9 months (3 + 6), so his investment becomes '3x' for the remaining 3 months. Ratio of profits received by 'A', 'B' and 'C' = {(4x x 3) + (3x x 9)}:(5x x 12):{(6x x 9) + (3x x 3)} = {12x + 27x}:60x:{54x + 9x} = 39x:60x:63x, which reduces to 39:60:63 Total ratio = 39 + 60 + 63 = 162 Therefore, profit share of 'B' = 16200 x (60/162) = Rs. 6,000 Hence, option A.