Girija ,Yatin and Zubin are partners sharing profits and losses in the ratio of 5 : 3 : 2. They admit Suresh into partnership and give him 1/5th share of profits. Find the new profit-sharing ratio.

Suresh is admitted for 1/5 share of profit

Let the combined share of profit for all partners after Suresh’s admission be = 1

Combined share of Raj, Ram and Ramesh after Suresh’s admission =1 − Suresh’s share

=1-1/5

=4/5

New Ratio = Old Ratio × Combined share of Raj, Ram and Ramesh

Girija = 5/10×4/5=20/50

Yatin =3/10×4/5=12/50

Zubin =2/10×4/5=8/50

A and B are partners sharing profits and losses in the proportion of 7:5. They agree to admit C, their manager, into partnership who is to get 1/6th share in the profits. He acquires this share as 1/24th from A and 1/8th from B. Calculate new profit-sharing ratio. 

C admits for 1/6 share of profit

A sacrifices his share of profit in favour of C =1/24

B sacrifices his share of profit in favour of C =1/8

New Ratio = Old Ratio − Sacrificing Ratio

A’s 7/12-1/24=13/24

B’s 5/12-1/8=7/24

A, B and C were partners in a firm sharing profits in the ratio of  3 : 2 : 1. They admitted D as a new partner for 1/8th share in the profits, which he acquired 1/16th from B and 1/16th from C. Calculate the new profit-sharing ratio of A, B, C and D. 

A, B and C shares profits in the ratio of  3 : 2 : 1.

D’s share = 1/8 (D acquired 1/16 from B and C each)

A’s share =3/6 (retains original share)

B’s new share=2/6-1/16=13/48          

C’s new share=1/6-1/16=5/48

New ratio of ABCD =3/6: 13/48: 5/48: 1/8 or 24:13:5:6

Bharati and Astha were partners sharing profits in the ratio of  3 : 2. They admitted Dinkar as a new partner for 1/5th share in the future profits of the firm which he got equally from Bharati and Astha. Calculate the new profit-sharing ratio of Bharati, Astha and Dinkar.

Calulation of New Profit Sharing Ratio

Bharti :Astha=3:2 (Old Ratio)

Dinkar=1/5

Bharti's sacrifice=1/5×1/2=1/10

Astha's sacrifice=1/5×1/2=1/10

Bharti's new share=3/5−1/10=6−1/10=5/10

Astha's new share=2/5−1/10=4−1/10=3/10

Dinkar's new share=1/5×2/2=2/10

Bharti :Astha :Dinkar=5:3:2 (New Ratio)

Mohan and Mahesh are partners in a firm sharing profits and losses in the ratio of 3 : 2. Nusrat is admitted as partner with 1/4 share in profit. Nusrat takes his share from Mohan and Mahesh in the ratio of 2 : 1. Calculate new profit-sharing ratio.

Old Profit Sharing Ratio amongst Partners (Mohan and Mahesh) is 3 : 2
Nusrat is admitted for 1/4^th Share in Profits
Sacrificing Ratio of Mohan and Mahesh is 2 : 1
Nusrat acquires =2/3×1/4=2/12 from Mohan

Nusrat acquires =1/3×1/4=1/12 from Mahesh

New ratio= old ratio – new ratio

Mohan‘s new share=3/5 -2/12  =36-10/60=26/60

Mahesh ‘s new share=2/5 -1/12  =24-5/60=19/60

Nusrat’s share=1/4=15/60

New ratio= 26:19:15