Sindhu, Neha, and Priya are partners sharing profits in the ratio of $5:3:2$. If Neha retires from the firm, calculate the new profit-sharing ratio and the gaining ratio between Sindhu and Priya, assuming no other modifications are specified.

The original ratio among Sindhu, Neha, and Priya is $5:3:2$.When a partner retires and the agreement does not state how the remaining partners will acquire their share, the remaining partners continue sharing profits in their old relative proportions.New Profit-Sharing Ratio:Remove Neha's share ($3$) from the series. The remaining ratio between Sindhu and Priya is directly $5:2$.Gaining Ratio:Under these baseline conditions, the gaining ratio matches their relative new profit-sharing ratio, which is also $5:2$.