Profit Sharing Ratio Questions

Abhiram and Ragini are partners sharing profits in the ratio of $3:2$. They admit Arun as a new partner for $\frac{1}{5}\text{th}$ share in the future profits of the firm which he gets equally from Abhiram and Ragini. Calculate the new profit sharing ratio of Abhiram, Ragini and Arun.

Naveen, Suresh and Tarun are partners sharing profits and losses in the ratio of $5:3:2$. Tarun retires from the firm and his share was taken over by Naveen and Suresh in the ratio $2:1$. In such a case, the new profit sharing ratio will be: