Sita and Gita are partners sharing profits and losses in the ratio of 3 : 2. They admitted Rita as a new partner for 1/5^th share in the future profits of the firm which she gets equally from Sita and Gita. State the new profit sharing ratio of Sita, Gita and Rita.

5 : 3 : 2

The correct answer is Option (2) - 5 : 3 : 2.

Old ratio = 3:2
Rita admit = 1/5th which she gets equally from Sita and Gita.

Sita sacrifice = 1/5 x 1/2
                  = 1/10
Gita sacrifice = 1/5 x 1/2
                  = 1/10

Sita new share = 3/5 - 1/10
                      =(6-1)/10
                      = 5/10
Gita new share = 2/5 - 1/10
                      =(4-1)/10
                      = 3/10

NEW RATIO = 5/10 : 3/10 : 1/5
                  = 5/10 : 3/10 : 2/10
                   = 5:3:2