Question

Q. 38. A and B are partners sharing profits and losses in 3:2. They admit C into partnership for 1/5th share in the profits. find out sacrificing ratio.​

Answer 1

Answer:

3:2

Explanation:

Let total profit =1

C's part =1/5th

Remaining Share= 1-1/5 =4/5

C get his share from A = 3/5 × 4/5 =12/25

C get his share from B = 2/5×4/5=8/25

sacrificing Ratio = 12:8

=3:2

Answer 2

Answer:

Sacrificing Ratio = A : B = 3 : 2

Explanation:

Solution :

Old Ratio :

A : B = 3 : 2

• A's Share = 3/5
• B's Share = 2/5

They admit C into partnership for 1/5th share in the profits.

Let,

Total Profit of all Partners = 1

• C's Share = 1/5

Remaining Share = 1 - 1/5 = 4/5

• A's new share =

$\longrightarrow$ 4/5 × 3/5 = 12/25

• B's new Share =

$\longrightarrow$ 4/5 × 2/5 = 8/25

• C's Share =

$\longrightarrow$ 1/5 = 5/25

★ New Sharing Ratio :

• A : B : C
• 12/25 : 8/25 : 5/25

$\longrightarrow$ 12 : 8 : 5

★ Sacrificing Ratio = Old Ratio - New Ratio

• A's Sacrifice =

$\longrightarrow$ 3/5 - 12/25 = (15 - 12)/25

$\longrightarrow$ 3/25

• B's Sacrifice =

$\longrightarrow$ 2/5 - 8/25 = (10 - 8)/25

$\longrightarrow$ 2/25

Sacrificing Ratio = A : B = 3 : 2

Therefore, Sacrificing Ratio = A : B = 3 : 2