Forex dealers said a firm dollar overseas also weighed on the rupee. However, sustained capital inflows capped rupee's fall to some extent, they added.
At the Interbank Foreign Exchange market, the domestic unit resumed weak at 53.50 a dollar as against last close of 53.36.
It moved in a narrow range of 53.42-53.63 before ending at 53.51, showing a fall of 15 paise, or 0.28 per cent from its previous close.
In the last three sessions, the local unit has risen by 106 paise, or 1.95 per cent.
Foreign institutional investors continued their buying spree and they picked up shares worth $850.98 million on Tuesday, taking the total to almost $3.3 billion in the current month till September 25 and almost $15.59 billion in 2012 so far, as per Sebi data.
Renewed dollar from importers, mainly oil refiners, to meet their month-end needs put pressure on the rupee, dealers said.
"The demand from oil importers at lower level and risk aversion phenomenon in global markets weighed on the rupee.
"However, the strong commitment for policy reforms continued to cap such weaknesses," Alpari Financial Services (India)
Rupee at over 4-month high of 53.36
Re at 4-mth high, gains 93 paise to end above 53
Re down 37 paise to 1 week-low of 54.38
Rupee ends flats at 54.01, recoups early losses