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

Sales Tax — Meaning and Computation

Sales Tax is an indirect tax levied by a government on the sale of goods, collected by the seller from the buyer at the time of sale and then remitted (paid over) to the government. Before India's move to VAT and later GST, Sales Tax was the principal indirect tax on the sale of goods in the country, levied by individual State governments under their own Sales Tax Acts.

A key feature of Sales Tax, as traditionally administered, is that it was largely a single-point tax — charged once at a specified point in the chain of sale (commonly the first sale by the manufacturer, or at the point of retail sale to the final consumer, depending on the state's own rules), rather than at every intermediate transaction the way VAT and GST are (§2, §3).

Computing the tax and the tax-inclusive price. If the sale price (the price of the goods before tax, also called the list price) is $P$ and the rate of sales tax is $r$ per cent, then:

\text{Sales Tax} = P \times \frac{r}{100}

\text{Tax-inclusive price (Invoice Value)} = P + \text{Sales Tax} = P\left(1+\frac{r}{100}\right)

Sometimes a problem gives the tax-inclusive price directly and asks for the original sale price before tax — this is answered by simply reversing the second formula:

P = \frac{\text{Tax-inclusive price}}{1+\dfrac{r}{100}}

Note

Why This Matters for What Comes Next

Sales Tax, as just described, has no built-in mechanism for a dealer to get credit for tax already paid on goods bought earlier in the chain. When a good passes through several hands — manufacturer to wholesaler to retailer — before reaching the final consumer, and each dealer charges tax again on a price that already includes the previous dealer's tax, the result is tax charged on tax, called the cascading effect. This single shortcoming is the reason India moved first to VAT and then to GST — both explained in the next two sections, and compared numerically against Sales Tax with real figures in §4.

This WBCHSE Class XI Business Mathematics and Basic Statistics chapter grounds all three indirect-tax systems in the same standard taxation arithmetic taught across Indian commerce curricula — percentages applied to a sale value are common to every board's treatment of Sales Tax, VAT and GST, even though WBCHSE frames and sequences the topic in its own way.

Definition 1Sales Tax

An indirect tax charged by the seller on the sale price of goods and paid over to the government; historically administered as a single-point tax by State governments in India.

Definition 2Tax-Inclusive Price (Invoice Value)

$P\left(1+\dfrac{r}{100}\right)$ — the amount actually paid by the buyer, i.e. the sale price $P$ plus the tax computed on it at rate $r$ per cent.

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