The currency market calmed somewhat after the central bank said on Thursday that it would intervene to support the rupee when necessary and that there was no reason for the rupee to be under pressure given the country's record foreign currency reserves.
The rupee closed at 157.85/95 against the dollar on Friday, weakening further from its previous record low of 157.75/95 hit on Thursday. It has been hitting record lows for five straight sessions through Friday.
The rupee has fallen 0.9 percent so far this week and 1.5 percent this month.
"It was a buyer's market today. The demand was there. There were some exporter (dollar) conversions in the morning but the persistent demand was there," a currency dealer said.
Some dealers said dollar purchases by oil importers, who usually buy dollars from banks, weighed on the currency.
The rupee has weakened 2.7 percent so far this year. It dropped 2.5 percent last year and 3.9 percent in 2016.
Dealers said they expect the rupee to gradually weaken and face higher volatility this year due to debt repayments by the government.
Foreign investors sold government securities worth a net 1.8 billion rupees ($11.5 million) so far this year through April 18, central bank data showed.
Stock, bond and foreign exchange markets are closed on Monday for a public holiday and markets will resume trading on Tuesday.