March 29 is holiday on account on Good Friday.
"With a view to providing greater convenience to the tax payers, it has been decided that all designated branches of agency banks and RBI offices conducting Government business will keep their counters open on March 29, 30 and 31, 2013 to accept Government taxes," the RBI said in a statement.
March 31 is the last day of the financial year 2012-13.
The central bank also urged the tax payers to remit taxes well before the last date to avoid last minute rush.
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The offices Central Board of Direct Taxes (CBDT) and Central Board of Excise and Customs (CBEC) too will remain open on March 30 and 31 for tax collection.
The CBEC offices will also remain open on March 29.
Meanwhile, SBI said its branches will remain open during normal business hours on Friday and Saturday and till mid-night on March 31.