Question

Amit, Sumit, and Punit share profit and losses in the ratio of 3:2:1, respectively. Amit retires and the remaining partners decide to take Amit’s share in the existing ratio i.e. 2:1. Calculate the gaining ratio.

• A. None of the above
• B. 2:1
• C. 1:2
• D. 1:1

Answer 1

The correct option is B

2:1

The existing ratio between Sumit and Punit= 2/6 and 1/6

Amit’s ratio (retiring partner) = 3/6

Amit’s share taken by Sumit and Punit in the ratio of 2:1

Sumit gets = 3/6 $\times$ 2/3 = 6/18

Punit gets = 3/6 $\times$ 1/3 = 3/18

New ratio between Sumit and Punit is = 6:3 = 2:1

Gaining ratio= New Ratio – Old Ratio

Sumit’s gain = 2/3 – 2/6 = 2/6

Punit’s gain = 1/3 – 1/6 = 1/6

Gaining ratio = 2:1