New Delhi, Nov. 28 -- Indian benchmark indices closed marginally higher in a volatile session after both the Nifty 50 and the Sensex hit new all-time high levels during the day. The index ended 10.25 points (0.039%) higher at 26,215.55, while the Sensex rose 110.87 points (0.13%) to close at 85,720.38. Early optimism, driven by positive global cues and hopes of a Fed rate cut, was partially offset by significant intra-day profit booking. The overall market breadth remained under pressure, with the advance/decline ratio showing a negative bias. On the sectoral front, the Nifty Financial Services (0.46%) and the Nifty Private Bank (0.34%) provided key support. On the other hand, the Nifty Oil & Gas (-0.73%), the Nifty Consumer Durables (-0....