Arjun and Vaibhav are partners sharing profits in the ratio of 3 : 2. They admitted Rahul as a new partner for 1/5 share in the future profits of the firm. The new partner acquired his share from the old partners in the old ratio. Calculate the new profit sharing ratio of Arjun, Vaibhav and Rahul.

12 : 8 : 5

The correct answer is Option (1) → 12 : 8 : 5

Arjun's old share $=$ 3/5

Vaibhav's old share= 2/5

Rahul's Share (new partner)$=\; 1/5$

Rahul acquired his share from Arjun and Vaibhav in their old ratio, which is 3:2.

Arjun’s Sacrifice =1/5 * 3/5 =3/25

$Vaibhav\text{'}s\; Sacrifice\; =1/5\; *\; 2/5\; =2/25$

$\text{New Share }=\text{ Old Share}-\text{Sacrifice}$

$\text{Arjun’s New Share= 3/5 - 3/25 =12/25}$

$\text{Vaibhav’s New Share=2/5 - 2/25 =8/25}$

$\text{New Ratio (Arjun : Vaibhav : Rahul)= 12/25 : 8/25 : 5/25 = 12 : 8 :5}$