Saraswati and Laxmi are partners in a firm sharing profits in ratio of 4:1. They
admit Parvati as a new partner for 1/4th share in future profits, which she
acquired wholly from Saraswati. Calculate the new profit sharing ratio of the
all partners.
Answers
Answer: 11 : 4 : 5
Step by step Explanation:
Given that,
Old profit sharing ratio of Saraswati and Laxmi is 4 : 1.
Parvati is admitted as new partner for 1/4th share in future profit, which is acquired from Saraswati.
That is, Saraswati sacrifices 1/4th share in favour of Parvati.
We know that,
New ratio = Old ratio - Sacrificing ratio
Saraswati's new ratio = 4/5 - 1/4 = 11/20
Laxmi's new share = 1/5 - 0 = 1/5 or 4/20 [no sacrifice ratio]
Parvati's share = 1/4 or 5/20 [given]
Thus, New profit sharing ratio of partners = 11/20 : 4/20 : 5/20 or 11 : 4 : 5
Required Answer :-
New ratio of Saraswati
She has 1/4 of the ratio
So,
New ratio of Saraswati = (5 - 1)/5 - 1/4
New Ratio of Saraswati = 4/5 - 1/4
New Ratio of Saraswati = 4(4) - 1(5)/20
New Ratio of Saraswati = 16 - 5/20
New Ratio of Saraswati = 11/20
New Ratio of Laxmi = (5 - 4)/5 - 0 [As Saraswati occupy wholly]
New Ratio of Laxmi = 1/5 - 0
New Ratio of Laxmi = 1/5
New Ratio of Parvati = 1/4[ SInce she wasn't partner in new share]
Ratio = 11/20:1/5:1/4