Alia and Deepika are partners in a firm. They admitted Priyanka into partnership giving her $\frac{1}{5}th$ share which she acquired from Alia and Deepika in the ratio of 1 : 2. What will be the new profit sharing ratio?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 13 : 11 : 6.
Alia and Deepika = 1:1 (Old ratio as no ratio is given so it should be equal)
Priyanka into partnership giving her 1/5th share which she acquired from Alia and Deepika in the ratio of 1 : 2.
Priyanka admitted with 1/5th share
Sacrificing ratio = 1:2
Sacrificed share of Alia = 1/5 x 1/3
= 1/15
Sacrificed share of Deepika = 1/5 x 2/3
= 2/15
New share = Old Share - Sacrificed share
New share of Alia = 1/2 - 1/15
= (15-2)/30
= 13/30
New share of Deepika = 1/2 - 2/15
= (15-4)/30
= 11/30
Share of Priyanka = 1/5
New ratio = 13/30 :11/30 :1/5
= 13/30 :11/30 : 6/30
= 13:11:6