The rupee was trading weak by 5 paise at 62.81 against the dollar in the evening session due to dollar's strength against other currencies overseas.
The domestic unit opened weak by 6 paise to a fresh two-month low of 62.82 against the US dollar at the Interbank Foreign Exchange market.
It further fell to 62.87 before being quoted at 62.81 at 4.30 pm local time.
The rupee hovered in the range of 62.69 and 62.87 in the evening trade.
Forex dealers attributed the fall in rupee to the dollar’s strength against other global currencies and sustained capital outflows.
The rupee had lost 21 paise to end at a two-month low of 62.76 against the dollar in yesterday’s trade on sustained dollar demand from importers amid rate hike concerns by the US Federal Reserve.
Meanwhile, the BSE index Sensex ended the session down by 50.7 points or 0.18 per cent at 28,659.17.