Three persons 'A', 'B' and 'C' started a business by making investments in the ratio (1/2):(2/3):(3/4), respectively. 3 months before the end of the year, 'C' withdrew half of his initial investment. If the total annual profit received by them together is Rs. 5,250, then find the difference between profits received by 'A' and 'B'.

Ratio of investment made by 'A', 'B' and 'C' = {(1 x 12)/2}:{(2 x 12)/3}:{(3 x 12)/4} = 6:8:9 (12 is LCM of 2, 3 and 4) Let investments be 12, 16 and 18 (taking multiplier = 2), so ratio remains 6:8:9. 'C' withdrew half of his investment 3 months before year end, i.e. invested fully for 9 months and half for the remaining 3 months. Ratio of profits received by 'A', 'B' and 'C' = (12 x 12):(16 x 12):{(18 x 9) + (9 x 3)} = 144:192:189, which reduces to 48:64:63 Required difference = {(64 - 48)/(48 + 64 + 63)} x 5250 = (16/175) x 5250 = Rs. 480 Hence, option A.