Question

A and B are the partners sharing profit and losses in the ratio of 3:2 they admitted Mr c into partnership firm and offered him 1/4 share which he acquires in the ratio of 2/3 from A and B respectively. calculate new profit sharing ratio.​

Answer 1

Hello Mate Here is your answer !!

Old ratio (A and B) = 3 : 2

C is admitted for 1/4 share

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

Combined share of A and B after C's admission = 1 - C's share

= 1 - (1/4) = 3/4

New share :

A = (3/4) * (1/2) = 3/8

B = (3/4) * (1/2) = 3/8

C = 1/4

Therefore, A : B : C = 3/8 : 3/8 : 1/4

= 3 : 3 : 2

Sacrificing ratio = Old ratio - New ratio

A's sacrifice = (3/5) - (3/8) = 9/24

B's sacrifice = (2/5) - (3/8) = 1/24

Therefore, sacrificing ratio of A and b is 9 : 1

Hope it helped you a lot !!

Answer 2

ANSWER :

• ❖ If A and B are partners in a firm sharing profits and losses in the ratio of 3 : 2 and C is admitted as partner with 1/4 th share in profit which he acquires from A and B in the ratio of 2 : 3; then the New Profit Sharing Ratio of A, B and C will be 2 : 1 : 1.

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SOLUTION :

❒ Given :-

• A and B are the partners sharing profit and losses in the ratio of 3 : 2

• C is admitted as partner with $\rm{\dfrac{1}{4}}$ th share in profit.

• C acquires his share from A and B in the ratio of 2 : 3.

❒ To Calculate :-

• New Profit Sharing Ratio of A, B and C= ?

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❒ Calculation :-

It is given that,

• C is admitted as partner with $\rm{\dfrac{1}{4}}$ th share in profit.

• C acquires his share from A and B in the ratio of 2 : 3.

So,

• ✠ C acquires share of profit from A = $\sf{\dfrac{2}{5}}$ th of $\sf{\dfrac{1}{4}}$

⇒ C acquires share of profit from A = $\sf{\dfrac{2}{5} \times \dfrac{1}{4}}$

⇒ C acquires share of profit from A = $\sf{\dfrac{2}{20}}$

And,

• ✠ C acquires share of profit from B = $\sf{\dfrac{3}{5}}$ th of $\sf{\dfrac{1}{4}}$

⇒ C acquires share of profit from B = $\sf{\dfrac{3}{5} \times \dfrac{1}{4}}$

⇒ C acquires share of profit from B = $\sf{\dfrac{3}{20}}$

Again,

• Old Ratio of A and B = 3 : 2.

So,

• A's Old Share = $\sf{\dfrac{3}{5}}$

• B's Old Share = $\sf{\dfrac{2}{5}}$

Also,

• Share surrendered by A = $\sf{\dfrac{2}{20}}$

• Share surrendered by B = $\sf{\dfrac{3}{20}}$

We know that,

• $\dag \: \: \underline{ \boxed{ \bf{ \: \: New \: \: Share = Old \: \: Share - Share \: \: Surrendered \: \: }}}$

Using this formula, we get,

• ★ A's New Share = A's Old Share - Share surrendered by A

➨ A's New Share = $\tt{\dfrac{3}{5} - \dfrac{2}{20}}$

➨ A's New Share = $\tt{\dfrac{12 - 2}{20}}$

➨ A's New Share = $\tt{\dfrac{10}{20}}$

Similarly,

• ★ B's New Share = B's Old Share - Share surrendered by B

➨ B's New Share = $\tt{\dfrac{2}{5} - \dfrac{3}{20}}$

➨ B's New Share = $\tt{\dfrac{8 - 3}{20}}$

➨ B's New Share = $\tt{\dfrac{5}{20}}$

And,

• ★ Share of C = Share of profit acquired from A + Share of profit acquired from B

➨ Share of C = $\tt{\dfrac{2}{20} + \dfrac{3}{20}}$

➨ Share of C = $\tt{\dfrac{2+ 3}{20}}$

➨ Share of C = $\tt{\dfrac{5}{20}}$

Hence,

• ✪ New Profit Sharing Ratio of A, B and C = New Share of A : New Share of B : Share of C

➜ New Profit Sharing Ratio of A, B and C = $\tt{\dfrac{10}{20}}$ : $\tt{\dfrac{5}{20}}$ : $\tt{\dfrac{5}{20}}$

➜ New Profit Sharing Ratio of A, B and C = 10 : 5 : 5

∴ New Profit Sharing Ratio of A, B and C = 2 : 1 : 1