The broad-based NSE Nifty edged higher by 29.95 points, or 0.33 per cent higher to a record closing of 9,173.75 after hovering between 9,183.15 and 9,136.35.
This is Nifty's highest closing since March 17, when it had ended at 9,160.05.
The 30-share Sensex, after touching the day's high of 29,684.54, succumbed to profit-booking and hit a low of 29,521.65 before settling 115.99 points, or 0.39 per cent higher at 29,647.42.
The gauge had gained 294.28 points in the previous two sessions.
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