Question

A,B,C are partners in sharing profit at ratio 2:2:1,B retires and his share is taken by C calculate new profit sharing ratio of A and C​

Answer 1

Answer:

The ratio of A's share to C's share is 2 : 3

Explanation:

Given :

A,B,C are partners in sharing profit at ratio 2 : 2 : 1

B retires and his share is taken by C

To find :

New profit sharing ratio of A and C

Solution :

• A : B : C = 2 : 2 : 1

★ Old ratio = A : B : C = 2 : 2 : 1

⇒ $\sf{A's \: share = \blue{\dfrac{2}{5}}}$

⇒ $\sf{B's \: share = \blue{\dfrac{2}{5}}}$

⇒ $\sf{C's \: share = \blue{\dfrac{1}{5}}}$

★ After B retires :

B retires and his share is taken by C

★ New ratio = old ratio + share from B to C

• $\sf{New \: share \: of \: C=}$

⇒ $\sf{\dfrac{1}{5} + \dfrac{2}{5}}$

⇒ $\sf{\dfrac{3}{5}}$

$\sf{New \: share \: of \: C = \dfrac{3}{5}}$

$\sf{New \: share \: of \: A = \dfrac{2}{5}}$

★ Ratio =

⇒ A : C = 2 : 3

Therefore,

The ratio of A's share to C's share is 2 : 3