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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 Qs share?

Rs 129
Rs 144
Rs 156
Rs 168
Explanation:

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.

Qs share = Rs. 378 x 8/21

= Rs. 144.

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