Step 1: New profit-sharing ratio.
Original ratio = 3 : 2 : 1.
After Deepa retires, only Asha and Lata remain. Their ratio = 3 : 1.
Step 2: Total capital after adjustments.
Asha's capital = Rs. 1,60,000.
Lata's capital = Rs. 80,000.
Total = Rs. 2,40,000.
Step 3: Adjust capitals in new ratio (3:1).
Total = 2,40,000. Ratio = 3 + 1 = 4 parts.
Share of Asha = 3/4 × 2,40,000 = Rs. 1,80,000.
Share of Lata = 1/4 × 2,40,000 = Rs. 60,000.
Final Answer: \[ \boxed{\text{Asha = Rs. 1,80,000, Lata = Rs. 60,000}} \]