Step 1: Determine the new profit-sharing ratio.
The original profit-sharing ratio was 3:2:1.
Following Deepa's retirement, the remaining partners, Asha and Lata, will share profits in a new ratio of 3:1.
Step 2: Calculate the total adjusted capital.
Asha's current capital stands at Rs. 1,60,000.
Lata's current capital is Rs. 80,000.
The combined total capital is Rs. 2,40,000.
Step 3: Re-allocate capitals according to the new ratio (3:1).
Total capital is Rs. 2,40,000, divided into 4 parts (3 + 1).
Asha's adjusted share is calculated as 3/4 of the total capital, resulting in Rs. 1,80,000.
Lata's adjusted share is calculated as 1/4 of the total capital, resulting in Rs. 60,000.
Final Answer: \[\boxed{\text{Asha = Rs. 1,80,000, Lata = Rs. 60,000}}\]