The partially convertible rupee eased to 81.72 per dollar, compared to its previous close of 81.390. The currency breached its 100-day moving average of 81.733 late in the session, falling 0.7% in two sessions.Traders had earlier cited fixing-related dollar demand and stop losses of speculators being triggered after the Reserve Bank of India (RBI) was suspected to be in the market on Monday.