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The income tax rate schedule for Virginia is as follows:

If your Virginia taxable income is: 

Over But Not Over Rate Of Excess Over
$0 $3,000 2%
$3,000 $5,000 $60 + 3% $3,000
$5,000 $17,000 $120 + 5% $5,000
$17,000 ... $720 + 5.75% $17,000

Or use the Tax Calculator.

If you are married filing jointly (resident return, form 760), you may be allowed a Spouse Tax Adjustment (up to $259) based on the amount of Virginia adjusted gross income attributable to each taxpayer.

If your income is below the poverty threshold, you may be allowed a Credit for Low Income (up to the amount of Virginia tax).  For information on qualifying for this credit, please see CLI information on Department of Taxation's website.