# Commerce Accountancy Chapter 5 - Admission Of A Partner

#### Question 11: Mahi and Rajat were in partnership sharing profits and losses in the ratio of 4:3. They admitted Kripa as a new partner. Kripa brought `60,000 as her share of goodwill premium which was entirely credited to Mahi's Capital Account. On the date of admission, goodwill of the firm was valued at `4,20,000. Calculate the new profit-sharing ratio of Mahi, Rajat and Kripa. (CBSE 2020)

Answer:

Kripa brought `60,000 as her share of goodwill premium

share of Kripa = 60,000/4,20,000=1/7 given by Mahi

Remaing share of Mahi = 4/7-1/7=3/7

New Ratio of –

 Mahi : Rajat : Kripa 3/7 : 3/7 : 1/7

#### Question 12:

Rakesh and Suresh are sharing profits in the ratio of 4 : 3. Zaheer joins and the new ratio among Rakesh, Suresh and Zaheer is 7 : 4 : 3. Find out the sacrificing ratio.

#### Answer:

 Rakesh Suresh Zaheer OLD RATION 4  : 3 NEW RATIO 7  : 4  : 3

Sacrificing Ratio = Old Ratio − Sacrificing Ratio

 Rakesh’s =4/7-7/14 =1/14 Suresh’s =3/7-4/14 =2/14 Rakesh Suresh Sacrificing sharing ratio = 1/14 : 2/14 = 1 : 2

#### Question 13:

Karim and Rehman are partners sharing profits in the ratio of 3 : 2. Naval is admitted as a partner. The new profit-sharing ratio among Karim, Rehman and Naval is 4 : 3 : 2. Find out the sacrificing ratio.

#### Answer:

 Karim Rehman Naval OLD RATION 3 : 2 NEW RATIO 4  : 3  : 2

Sacrificing Share = Old Ratio − New Ratio

 Karim’s =3/5-4/9 =7/45 Rehman’s =2/5-3/9 =3/45 Karim Rehman Sacrificing sharing ratio = 7/45 : 3/45 = 7 : 3

#### Question 14:

A, B and C are partners sharing profits in the ratio of 4 : 3 : 2. D is admitted for 1/3rd share in future profits. What is the sacrificing ratio?

#### Answer:

 A B C OLD RATIO  = 4 : 3 : 2

D is admitted for 1/3share of profit

Let the combined share of profit of A, B C and D be = 1

Combined share of A, B and C after D’s admission = 1 − D’s shares

=1-1/3

=2/3

New Ratio = Old Ratio  combined share of A, B and C

 A’s =4/9×2/3 =8/27 B’s =3/9×2/3 =6/27 C’s =2/9×2/3 =4/27

Sacrificing Ratio = Old Ratio − New Ratio

 A’s =4/9-8/27 =4/27 B’s =3/9-6/27 =3/27 C’s =2/7-4/27 =2/27 A B C Sacrificing sharing ratio = 4/27 : 3/27 : 2/27 = 4 : 3 : 2

#### Question 15:

A, B, C and D are in partnership sharing profits and losses in the ratio of 36 : 24 : 20 : 20 respectively. E joins the partnership for 20% share and A, B, C and D in future would share profits among themselves as 3/10 : 4/10 : 2/10 : 1/10. Calculate new profit-sharing ratio after E's admission .

#### Answer:

 A B C D OLD RATIO  = 36 : 24 : 20 : 20

E is admitted for 20/100 share

Let combined share of profit of all partners after E’s admission = 1

Combined share of A, B, C and D after E’s admission = 1 − E’s Share
=1-20/100

=80/100

New Ratio = Combined of A, B, C and D  Agreed Share of A, B, C and D

 A’s =80/100×3/10 =24/100 B’s =80/100×4/10 =32/100 C’s =80/100×2/10 =16/100 D’s =80/100×1/10 =8/100 A B C D E New profit sharing ratio = 24/100 : 32/100 : 16/100 : 8/100 : 20/100 = 6 : 8 : 4 : 2 : 5