Question

A,B and C ate partners sharing profit in the ratio of 4:3:1. A retires and his share is taken over by B and C equally . calculate the new ratio ​

Answer 1

Answer:

refer to the attachment

Answer 2

ANSWER :

• ❖ If A, B and C are partners sharing profit in the ratio of 4 : 3 : 1 and when A retires and his share is taken over by B and C equally; then the New Profit Sharing Ratio of B and C will be 5 : 3.

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SOLUTION :

❒ Given :-

• A, B and C are partners sharing profit in the ratio of 4 : 3 : 1.

• A retires and his share is taken over by B and C equally.

❒ To Calculate :-

• The New Profit Sharing Ratio of B and C = ?

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❒ Calculation :-

It is given that,

• Profit Sharing Ratio of A, B and C = 4 : 3 : 1

So,

• Share of A = $\sf{\dfrac{4}{8}}$

• Share of B = $\sf{\dfrac{3}{8}}$

• Share of C = $\sf{\dfrac{1}{8}}$

Again,

• When A retires, his share, i.e., $\rm{\dfrac{4}{8}}$ is taken over by B and C equally.

So,

• ✠ Gain of B from A = $\sf{\dfrac{1}{2}}$ of $\sf{\dfrac{4}{8}}$

➜ Gain of B from A = $\sf{\dfrac{1}{2} \times \dfrac{4}{8}}$

➜ Gain of B from A = $\sf{\dfrac{1}{4}}$

Similarly,

• ✠ Gain of C from A = $\sf{\dfrac{1}{2}}$ of $\sf{\dfrac{4}{8}}$

➜ Gain of C from A = $\sf{\dfrac{1}{2} \times \dfrac{4}{8}}$

➜ Gain of C from A = $\sf{\dfrac{1}{4}}$

Thus,

• ⊚ New Share of B = Old Share of B + Gain from A

⇒ New Share of B = $\tt{\dfrac{3}{8} + \dfrac{1}{4}}$

⇒ New Share of B = $\tt{\dfrac{3 + 2}{8}}$

⇒ New Share of B = $\tt{\dfrac{5}{8}}$

And,

• ⊚ New Share of C = Old Share of C + Gain from A

⇒ New Share of C = $\tt{\dfrac{1}{8} + \dfrac{1}{4}}$

⇒ New Share of C = $\tt{\dfrac{1 + 2}{8}}$

⇒ New Share of C = $\tt{\dfrac{3}{8}}$

Hence,

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

➨ New Profit Sharing Ratio of B and C = $\tt{\dfrac{3}{8}}$ : $\tt{\dfrac{3}{8}}$

∴ New Profit Sharing Ratio of B and C = 5 : 3