The benchmark SSEx BSE index rose about 155 points on Monday to boost fourth-quarter earnings on buying IT, FMCG, automotive and pharmaceutical stocks in firm global markets and ease the border tension between Indochina.
The larger NSE Nifty regained the 9.900 key mark driven by earnings from Infosys, Sun Pharma, Hindustan Unilever, Hero MotoCorp and Indian Oil.
The 30-share Sensex opened at 31,756.87 and advanced further, reaching a peak of 31,809.70 in uninterrupted purchases from domestic investors.
The barometer cut some of the gains because of higher-yielding earnings after European shares opened negative to end at 31,750.82, still at 154.76 or 0.49 percent.
The indicator had gained 337.21 points in the previous three sessions.
The NSE Nifty finished 55.75 points, or 0.57 percent, highest at 9,912.80 after moving between 9,925.75 and 9,882.
Infosys, the second largest software exporter in the country, emerged as the biggest winner among Sensex components as it rose 3.14 percent to 941.15 rupees.
Investors applauded the appointment of former chief executive officer and Aadhaar-architect Nandan Nilekani as its new president.
Brokers said the rupee appreciating further to trade at 63.86 (intra-day) versus the dollar on the currency market also had its positive impact.
The sentiment was given a boost to ease border tensions after India and China agreed on the prompt disconnection of border staff in Dokalam, they said.
Better closure in most Asian markets also boosted commercial sentiment.
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