'A', 'B' and 'C' entered into a partnership with initial investments in the ratio 3 : 4 : 5. After 6 months, 'A' withdrew half of his capital, while 'C' invested an additional amount equal to 20% of his initial capital. If the total profit at the end of 1 year was Rs. 94,000, find the share of 'B' in the total profit?

Let the initial investments of 'A', 'B' and 'C' be 3x, 4x and 5x respectively Equivalent investment of 'A' for 1 year = (3x X 6) + (1.5x X 6) = 18x + 9x = 27x Equivalent investment of 'B' for 1 year = 4x X 12 = 48x Equivalent investment of 'C' for 1 year = (5x X 6) + {5x X (1 + 0.20) X 6} = 30x + 36x = 66x So, ratio of profit shares of 'A', 'B' and 'C' respectively = 27x : 48x : 66x = 9 : 16 : 22 ATQ, sum of ratio terms = 9 + 16 + 22 = 47 Or, total profit = Rs. 94,000 So, share of 'B' = 94000 X (16 / 47) So, share of 'B' = Rs. 32,000. Hence, the correct answer is A.