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

1.	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» 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