Question

X,Y,Z are partner sharing profit and lossees in the ration of 5:3:2 they admit A into partnership and give him 1/5th share of profits . Find the new profit -sharing ration​

Answer 1

Answer:

There fore New profit sharing ratio =

X : Y : Z : A  = 10 : 6 : 4 : 5

Explanation:

Given data:-

• X,Y,Z are partner sharing profit and losses in the ration of 5:3:2

• they admit A into partnership and give him 1/5th share of profits

To find:-  The new profit sharing ratio

Answer:-

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

A's share = 1/5

let the total profit be = 1

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 new share

⇒ 1/5 × 10/10 = 10/50

New profit sharing ratio

⇒ X : Y : Z : A = 20 : 12 : 8 : 10

⇒ 10 : 6 : 4 : 5

There fore New profit sharing ratio =

X : Y : Z : A  = 10 : 6 : 4 : 5

Answer 2

Given :-

• X,Y,Z are partner sharing profit and losses in the ration of 5:3:2 they admit A into partnership and give him 1/5th share of profits.

To Find :-

• Find the new profit-sharing ration ?

Solution :-

• Old Ratio :
• X : Y : Z
• 5 : 3 : 2

Where,

• X's share = 5/10
• Y's share = 3/10
• Z's share = 2/10

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 × 10/10 = 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

• Hence, new profit-sharing ratio of X,Y,Z and A = 10 : 6 : 4 : 5.

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