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.