Question

Q. 8. Arun and Barun share profits in the ratio of 2:1. ared Charan is admitted with 1/5 share in profits. Charan lues acquires 2/3 of his share from Arun and 1/3 of his sion share from Barun. The new ratio will be: (B) 23: 13:12 (A) 2:1:1 of (C) 8:4:3 (D) 13:23:12 ​

Answer 1

Answer:

Option C is correct.

Explanation:

Given that Arun and Barun were partners in a firm sharing profits and losses in the ratio 2 : 1.

Old ratio of Arun and Barun:

• Arun's ratio = 2/3
• Barun's ratio = 1/3

Now given that Charan is admitted into firm with 1/5th share in profit and who acquires 2/3rd of his share from Arun and 1/3rd share from Barun.

Let the total profit be 1.

Charan's ratio = 1/5

Remaining share = 4/5

New ratio of old partners:

Arun's share = 2/3 * 4/5 = 8/15

Barun's share = 1/3 * 4/5 = 4/15

Required profit sharing ratio of Arun, Barun and Charan is,

⇒ Arun : Barun : Charan

⇒ 8/15 : 4/15 : 1/5

⇒ 8/15 : 4/15 : 3/15

⇒ 8 : 4 : 3

Option [C] is correct.