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 and gaining ratio of the remaining partners.

Explanation

`{:(,,"Lakshya","Manoj","Naresh",),((i),"Old Share",(2)/(10),(1)/(10),(4)/(10),),((ii),"Acquired Share from Kumar",(3)/(5)"of"(3)/(10),(2)/(5)"of"(3)/(10),"Nil",),(,,=(9)/(50),=(6)/(50),"Nil",),((iii),"New share = (i) = (ii)",(2)/(10)+(9)/(50),=(1)/(10)+(6)/(50),=(4)/(10)+"Nil",),(,,=(19)/(50),=(11)/(50),=(20)/(50),):}`
The New Profit Sharing Ratio is `19:11:20`
Gaining ratio is `3:2:0`
Notes: 1. Since Lakshya and Manoj are acquiring Kumar's share of profit in the ratio of `3:2`, hence, the gaining ratio will be `3:2` between Lakshya and Manoj.
2. Naresh has neither sacrificed nor gained.