A strong dollar overseas and some hesitancy in local stocks, however, limited the rupee rise, forex dealers said.
On a weekly basis, the local currency, however, fell 16 paise to log its first weekly drop in seven largely due to the 48-paise drop on Monday.
At the Interbank Foreign Exchange market, the domestic unit today resumed better at 60.78 a dollar from previous close of 60.84.
It was trapped in a narrow range of 60.73 and 60.8975 before finishing at 60.81, a rise of three paise or 0.05 per cent.
In previous four days, rupee rose by 32 paise or 0.52
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