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The rupee rose as much as 0.8 percent to 59.21 per dollar, its strongest since July 29.
India's wholesale price-based inflation in April slowed to a two-month low of 5.20 percent, well below a forecast of 5.73 percent in a Reuters poll.
The South Korean won rose on fund inflows to the country's stocks and bonds.
Foreign exchange authorities were spotted buying dollars to stem the won's appreciation, but official bids were not strong, traders said.
The Taiwan dollar edged up on inflows from foreign financial institutions.
However, the Philippine peso fell as investors took profits from its recent gains amid caution over possible intervention by the central bank.