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Business Mathematics and Basic Statistics · Ch 3 — Sales Tax, VAT and GST

Value Added Tax (VAT) — Output Tax, Input Tax and Net Payable

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Value Added Tax (VAT) — Output Tax, Input Tax and Net Payable

Value Added Tax (VAT) replaced the old single-point Sales Tax system in Indian states, precisely to remove the cascading (tax-on-tax) problem described in §1. VAT is a multi-stage tax — charged at every point of sale in the supply chain — but, unlike the old Sales Tax, it is designed so that only the value added at each stage is effectively taxed, not the whole sale price all over again.

This is achieved through the mechanism of input tax credit:

  • Output Tax — the VAT a dealer collects from the buyer on the dealer's own sale, computed exactly like Sales Tax: Output Tax=Sale Price×r100\text{Output Tax} = \text{Sale Price} \times \dfrac{r}{100}.
  • Input Tax — the VAT the dealer has already paid to their own supplier when purchasing the goods being resold, computed the same way on the purchase price.
  • Net VAT Payable — the amount the dealer actually remits to the government, after claiming credit for the input tax already paid:

Net VAT Payable=Output Tax−Input Tax (credit)\text{Net VAT Payable} = \text{Output Tax} - \text{Input Tax (credit)}

If input tax exceeds output tax in a given period, the excess is typically carried forward to be set off against future output tax, rather than simply lost.

Note

The Value-Added Shortcut

Because both the output tax and the input tax are usually computed at the same rate rr per cent, the net VAT payable can equally be found directly from the value added — the difference between the sale price and the purchase price — without separately computing output and input tax first:

Net VAT Payable=(Sale Price−Purchase Price)×r100\text{Net VAT Payable} = (\text{Sale Price} - \text{Purchase Price}) \times \frac{r}{100} …

Definition 3Output Tax

Sale Price×r100\text{Sale Price} \times \dfrac{r}{100} — the VAT a dealer collects from the buyer on the d …

Definition 4Input Tax (Input Tax Credit)

The VAT already paid by a dealer to their supplier on the goods purchased; creditable against the deale …

Definition 5Net VAT Payable

Output Tax−Input Tax\text{Output Tax} - \text{Input Tax}, equivalently (Sale Price−Purchase Price)×r100(\text{Sale Price}-\text{Purchase Price})\times\dfrac{r}{100} — the …