P, Q and R started a furniture business and their shares are in the ratio 1/2 : 1/3 : 1/4 , After 2 months, P withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is Q’s share?

Rs 129

Rs 144

Rs 156

Rs 168

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3 Let their initial investments be 6x, 2x and 3x respectively. P : Q : R = (6x x 2 + 3x x 10) : (4x x 12) : (3x x 12) = 42 : 48 : 36 = 7 : 8 : 6. Q's share = Rs. 378 x 8/21 = Rs. 144.

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