Kumar, Lakshya, Manoj and Naresh are partners sharing profits in the ratio of 3 : 2 : 1 : 4. Kumar retires and his share is acquired by Lakshya and Manoj in the ratio of 3 : 2. Calculate new profit sharing ratio of remaining partners.

19 : 11 : 20

The correct answer is Option (3) → 19 : 11 : 20

Kumar, Lakshya, Manoj and Naresh = 3 : 2 : 1 : 4
Kumar retires and his share = 3/10
Kumar share is acquired by Lakshya and Manoj in the ratio of 3 : 2.

Lakshya gains = 3/10 x 3/5
                     = 9/50

Manoj gains = 3/10 x 2/5
                  = 6/50

Lakshay new share = 2/10 + 9/50
                            = (10 + 9)/50
                            = 19/50

Manoj new share = 1/10 + 6/50
                         = (5+6)/50
                         = 11/50

Naresh share = 4/10 or 20/50

So , the new ratio = 19/50 : 11/50 : 20/50
                          = 19:11:20