A shopkeeper sells an article at its marked price (Rs. $7, 500$ ) and charges sales-tax at the rate of $12 %$ from the customer. If the shopkeeper pays a VAT of Rs. $180$ ; calculate the price (inclusive of tax) paid by the shopkeeper.

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Solution

Since, the shopkeeper sells the article for Rs. $7, 500$ and charges sales-tax at the rate of $12 %$ .
$∴$ Tax charged by the shopkeeper $= 12 % o f R s . 7, 500$
$= \frac{12}{100} \times$ $R s . 7, 500 = R s . 900$
$∵$ VAT = Tax charged - Tax paid
$\Rightarrow$ $R s . 180 = R s . 900 -$ Tax paid
$\Rightarrow$ Tax paid by the shopkeeper $= R s . 900 - R s . 180 = R s . 720$
If the shopkeeper buys the article for Rs. $x$
Tax on it = 12% of Rs. $x$ = Rs. 720 $\Rightarrow x =$ $R s . 6, 000$
$∴$ The price (inclusive of tax) paid by the shopkeeper = Rs. $6, 000 + R s . 720 = R s . 6, 720$

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