Question

1 point
10.X, Y and Z are partners
sharing profits and losses in the
ratio of 3: 3
: 2. X retires from
the firm and after X's
retirement Y and Z agreed to
share profits and losses in the
ratio of 5: 3 in future. Their
gaining ratio will be:


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Answer 1

ANSWER :

• ❖ X, Y and Z are partners sharing profits and losses in the ratio of 3 : 3 : 2. X retires from the firm and after X's retirement, Y and Z agreed to share profits and losses in theratio of 5 : 3 in future. Their gaining ratio will be 2 : 1.

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SOLUTION :

❒ Given :-

• The ratio of X, Y and Z are partners sharing profits and losses is = 3 : 3 : 2

• After X's retirement, the ratio of Y and Z partners sharing profits and losses is = 5 : 3

❒ To Calculate :-

• Gaining ratio of Y and Z partners = ?

❒ Calculation :-

• ➻ The ratio of X, Y and Z are partners sharing profits and losses is = 3 : 3 : 2

∴ X's old share = $\sf{\dfrac{3}{8}}$

∴ Y's old share = $\sf{\dfrac{3}{8}}$

∴ Z's old share = $\sf{\dfrac{2}{8}}$

• ➻ After X's retirement, the ratio of Y and Z partners sharing profits and losses is = 5 : 3

∴ Y's new share = $\sf{\dfrac{5}{8}}$

∴ Z's new share = $\sf{\dfrac{3}{8}}$

Hence,

• ✪ Y's gain = New Share - Old Share

➜ Y's gain = $\sf{\dfrac{5}{8}}$ - $\sf{\dfrac{3}{8}}$

➜ Y's gain = $\sf{\dfrac{5 - 3}{8}}$

➜ Y's gain = $\sf{\dfrac{2}{8}}$

And,

• ✪ Z's gain = New Share - Old Share

➜ Z's gain = $\sf{\dfrac{3}{8}}$ - $\sf{\dfrac{2}{8}}$

➜ Z's gain = $\sf{\dfrac{3 - 2}{8}}$

➜ Z's gain = $\sf{\dfrac{1}{8}}$

• ∴ Gaining Ratio of Y and Z partners = $\sf{\dfrac{2}{8}}$ : $\sf{\dfrac{1}{8}}$

➨ Gaining Ratio of Y and Z partners = 2 : 1 ★

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KNOW MORE :

❍ Gaining Ratio :-

• ✎ In case of a partnership firm, Gaining Ratio is the ratio in which the continuing remaining partners acquire the retiring partner's share.

❍ Gaining Ratio can be calculated as follows :-

• ✎ When the new profit sharing ratio is not given, the gaining ratio would be the same as the old profit sharing ratio.

• ✎ When the new profit sharing ratio is not given but share of purchase of a retiring partner's share is given, the gaining ratio would be the share in which remaining partners agreed to share retiring partner's share.

• ✎ When the new profit sharing ratio is given, the gaining ratio is calculated by deducting the old ratio from the new ratio.

Answer 2

Answer:

Gaining Ratio will be 2 : 1

Explanation:

Solution :

Old Ratio :

X : Y : Z = 3 : 3 : 2

• X's Share = 3/8

• Y's Share = 3/8

• Z's Share = 2/8

X retires from the firm and after X's retirement Y and Z agreed to share profits and losses in the ratio of 5 : 3 in future

★ New Ratio :

Y : Z = 5 : 3

★ Gaining Ratio : New Ratio - Old Ratio

• Y's Gain =

⇒ 5/8 - 3/8 = 2/8

• Z's Gain =

⇒ 3/8 - 2/8 = 1/8

Gaining Ratio :

• Y : Z
• 2/8 : 1/8

Gaining Ratio = 2 : 1

∴ Gaining Ratio will be 2 : 1