A B C D share profits in 4:3:2:1. C retires and A B D acquire his share in 2:1:1. What will be the new ratio?

Correct answer: 5:3.5:1.5

The correct answer is Option A, 5:3.5:1.5. The old ratio A:B:C:D is 4:3:2:1. C retires and gives up 2 parts. A, B and D acquire those 2 parts in the ratio 2:1:1. The total units in the acquiring ratio are 4, so one unit equals 2/4 = 0.5 of C's surrendered share. A receives 2 units = 1 part; B receives 1 unit = 0.5 part; D receives 1 unit = 0.5 part. Add these gains to their old shares: A = 4 + 1 = 5, B = 3 + 0.5 = 3.5, and D = 1 + 0.5 = 1.5. Hence the new ratio is 5:3.5:1.5. Option A is correct. Option B, 6:4:2, gives a different total distribution and does not follow the stated acquisition ratio. Option C, 4:3:1, gives D no acquired share and is therefore wrong. Option D, 2:1:1, is only the acquisition ratio, not the total new profit-sharing ratio. Decimals may be removed by multiplying all terms by 2, giving 10:7:3, but the listed form 5:3.5:1.5 is valid.