The local currency resumed firmly higher at 63.30 against Monday's closing level of 63.40 at the Interbank Foreign Exchange (FOREX) market on sustained dollar selling by exporters.
After a massive rally in late trade on Monday, the market has opened with gains on Tuesday.
Gold prices advanced by Rs 20 to Rs 26,570 per ten grams at the bullion market on Monday on increased buying by jewellers amid a firm global trend.
Offer on routes such as Mumbai-Goa, Ahmedabad-Mumbai, Bangalore-Hyderabad, Chennai-Bangalore, Pune-Bangalore and more, SpiceJet said
The rupee in a volatile trade on Monday ended higher by 4 paise to 63.40 against the US currency.
The Greeks overwhelmingly rejected conditions of a rescue package from creditors on Sunday with a resounding 'No'.
As many as 2.37 crore (13.25 per cent) families in villages lived in houses of one room with "kaccha" walls and roof.
With IFC, GIC Singapore and SIDBI as equity investors, Bandhan Bank would start operations with a capital base of Rs 2,616 crore.
The benchmark Sensex rose over 95 points in early trade on Thursday.
Positive comments from the Reserve Bank Governor Raghuram Rajan that India will see limited impact of the debt crisis in Greece as it has little direct exposure to the European nation also supported the overall trade.
Opposition from business groups comes as Arun Jaitley wants to push through GST Bill calling it India's biggest tax reform since independence.
The finance ministry is working on a comprehensive package to help state-run banks, which are saddled with huge bad loans, said Jayant Sinha.
The Indian rupee has opened flat at 63.65 per dollar on Wednesday against previous day's closing value of 63.64 a dollar.
The Sensex is up 61.79 points at 27842.62, and the Nifty is up 7.75 points at 8376.25.
The rupee depreciated 20 paise to close at 63.84 in Monday's trade due to the looming debt default crisis in Greece.
Also, the NSE Nifty was up 34.65 points, or 0.42 per cent, at 8,353.05 in early trade.
Raghuram Rajan had last week said he expected that India's economy would be able to withstand any impact from the crisis in Greece thanks in part to its foreign exchange reserves
As per the proposal, Value Added Tax, which is flat 20% as of now, can vary from 12.5 to 30% on all goods, including liquor, CNG, petrol and diesel.
Shares of Bharat Forge plunged 4.03%, Tata Motors was down 2.07%, Havells India went down by 1.66% on BSE.
Indian economy, which is little more than $2 trillion, recorded a growth rate of 7.3% in 2014-15.
Terming the situation as dynamic and evolving, Mehrishi said, the crisis may have an indirect impact on India by way of its outcome on the European currency euro.
The Sensex was down 166.69 points or 0.6 per cent at 27645.15, and the Nifty slipped 54.40 points or 0.6 per cent at 8326.70.
The rupee had lost 2 paise to close at 63.64 in a range-bound trade on month-end demand for the greenback from importers despite its weakness overseas.