Both benchmark indices were driven by strong gains in IT, teck, oil and gas, pharma and banking shares amid earnings optimism.
The broader NSE Nifty index too finished lower by 4.80 points, or 0.05 per cent, at 10,632.20.
The NSE Nifty ended 89.40 points, or 0.83 per cent, lower at 10,710.45.
Strong gains in Vedanta Ltd, Adani Ports, Bharti Airtel and Maruti Suzuki helped the index touch record levels.
The auto maker wants to cut output in the wake of low demand.
Surprisingly, RIL scrip also fell by 2.73 per cent to 1,029.15, becoming the second biggest loser in the index
Coal India fell the most by 2.58 per cent among Sensex scrips, dragging the index into the negative zone.
The BSE Sensex jumped 70.42 points to end at 34,503.49, while the broader NSE Nifty finished at 10,651.20, up 19 points.
The Nifty finished the day at 10,265.65, a hefty gain of 98.95 points, or 0.97 per cent, after shuttling between 10,270.85 and 10,195.25.
The wider Nifty hit a low of 10,033.35 before finishing at 10,044.10, down 74.15 points or 0.73 per cent.
The 30-share Sensex stayed in the green for the better part of the session and hit the day's high of 38,297.70 as buying pace gathered momentum towards the fag-end.
The broader NSE Nifty moved between 10,705 and 10,785.55, before ending 25.15 points, or 0.23 per cent down at 10,716.55.
Persistent capital inflows by domestic institutional investors and retail investors kept the markets in fine nick
The broader NSE Nifty too fell below the 10,100 level by dropping 100.10 points to end at 10,094.25
Investors booked profits in recent gainers
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The 50-issue NSE Nifty too cracked the 10,200-mark and hit a low of 10,108.55 before finishing 104.75 points, or 1.02 per cent down at 10,121.80.
Most of the session's gains for both the indices were wiped out as investors rushed to book profits ahead of F&O expiry on Thursday and also due to concerns over stretched valuations.
The 50-share NSE Nifty ended up 37.05 points, or 0.36 per cent, at 10,397.45 points
Gains in key IT, capital goods, healthcare and metal stocks, after consistent buying by domestic and foreign investors, helped both the key indices to scale new peaks.
The broader NSE Nifty slipped below the 10,500-mark by falling 103 points, or 0.97 per cent, at 10,482.20. It touched a high of 10,645.50 and a low of 10,464.05 during the day.
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Top gainers among the S&P BSE Sensex include GAIL, Dr Reddy's Laboratories and Bharti Airtel, all edging up by 1% in late morning deals
Several Sensex stocks hits 52-week low in intra-day trade on Monday with financials leading the decline.
Venkataraman Krishnamurthy, who is considered as the turnaround man of several Indian corporate houses like BHEL, Maruti Udyog, SAIL and Gail (India), passed away on Sunday at the age of 97. Krishnamurthy is considered as "the father of public sector undertakings in India" by many in India Inc. Born in the temple town of Tamil Nadu's Karuveli, he started his career as an airfield technician during the Second World War.
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While the Bongaon municipality accommodates 1,200 trucks, the rest are at the mercy of private parking lots, where contractors charge an upfront fee of about Rs 4,000 per day.
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The sentiment got support from better-than-expected earning results by select companies and continuous buying by domestic financial institutions.
Oil & gas, banking and pharma sector stocks stole the show
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Making a debut in India with an SUV, Citroen's products in the next couple of years will clearly chart and define its destiny in what has become both a vibrant but also a daunting market for foreign entrants, says Pavan Lall.
After paring some gains, the 30-share index settled at an all-time closing high of 28,008.90, up by 98.84 points, or 0.35 per cent, over the previous close.
At present, there is no direct air connectivity between India and Myanmar.
Ajit Mishra, vice president, Research, Religare Broking, answers your queries.
Ajit Mishra, vice president, Research, Religare Broking, answers your queries.
This is its biggest single session fall since August 24, 2015, when it had lost 1,624.51 points.
Tata Steel was the day's worst performer in the Sensex pack, plunging 3.25 per cent, followed by Bharti Airtel at 3.05 per cent.
India's traditional companies are now moving full scale into the renewable and alternative energy space that had been dominated by smaller players over the past decade. Companies such as government-owned NTPC and the Adani and the Tata groups restructured their businesses well in time to become major players in the green space. At the same time, other conventional companies, such as Larsen & Toubro and Reliance Industries Ltd (RIL), which have a presence both in the energy sector as well as myriad other activities - construction, technology and retailing - are tying up with new-age companies to hitch a ride to a greener path.
Profit taking in index heavweights RIL and HDFC weighed on sentiment while ICICI Bank surged 7%.