Question

X and Y share profits and laves in the ratio of 5:3
They admit Z as a new partner with 1/5th share in
future profit. Calculate new profit sharing ratio .​

Answer 1

Answer:

9:8:23

Explanation:

Formula:-1-Share of new partner

:-1-1/5

:-4/5

New Ratio=Old ratioX Balance of 1

X's New ratio=5/8X4/5=9/40

Y's New ratio=3/8X4/5=8/40

Z's Ratio=1/5 i.e.23/40

New profit sharing ratio will.9:8:23

Answer 2

Explanation:

Solution :

★ Old Ratio :

X : Y : Z = 5 : 3 : 2

X's Share = 5/10

Y's Share = 3/10

Z's Share = 2/10

They admit A into partnership and give him 1/5th share of profits.

A's Share = 1/5

Let,

Total Profit of all Partners = 1

A's Share = 1/5

So,

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

★ New Profit Sharing Ratio :

• X's New Share =

⇒ 5/10 × 4/5 = 20/50

• Y's New Share =

⇒ 3/10 × 4/5 = 12/50

• Z's New Share =

⇒ 2/10 × 4/5 = 8/50

• A's Share =

⇒ 1/5 = (1×10)/(5×10)

⇒ 10/50

New Profit Sharing Ratio =

X : Y : Z : A

20/50 : 12/50 : 8/50 : 10/50

⇒ 20 : 12 : 8 : 10 = 10 : 6 : 4 : 5

Therefore,

New Profit Sharing Ratio =

X : Y : Z : A = 10 : 6 : 4 : 5