The 30-share BSE index was trading 39.84 points or 0.10 per cent higher at 41,682.50.
The 30-share BSE Sensex settled 38.88 points, or 0.09 per cent, down at 41,642.66.
The 30-share BSE Sensex was trading 60.68 points or 0.15 per cent lower at 41,620.86 in early session.
At the interbank foreign exchange, the rupee opened at 71.15 then fell to 71.17 against the US dollar.
Settling at a record high for the fourth consecutive session, 30-share BSE Sensex closed 7.62 points higher at 41,681.54.
Forex traders said cautious opening in domestic equities weighed on the rupee.
The 30-share BSE Sensex was trading 102.51 points or 0.25 per cent higher at 41,776.43 in opening session.
The resolution professional (RP) Ashish Chawcharia requested three weeks time to float the EoI.
Forex traders said the rupee ended on a weak note as importers rushed for hedging amid expectations of intervention by the RBI.
The 30-share BSE Sensex settled 115.35 points, or 0.28 per cent, higher at its fresh closing record of 41,673.92.