A national consumption-type VAT has the same base as a national retail sales tax (assuming no exemptions

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A national consumption-type VAT has the same base as a national retail sales tax (assuming no exemptions or the same exceptions for each). If one state has a consumption-type VAT, is that tax on the same base as a state sales tax? Suppose that every state adopted a consumption-type VAT. Would the cumulative effect of those taxes be the same as a national sales tax? How does the answer depend on how the tax base is allocated among states?

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