The list price of an article is 6,000. A shopkeeper sells the article to a consumer at the list price and charges sales tax at 8%. If the shopkeeper pays a VAT of 2 64 to the state government, at what price, inclusive of sales tas, did the shopkeeper buy the article from the wholesaler ?
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Answer:
Shopkeeper sell the article at list price=Rs.3000
Rate of sales tax=12%
VAT paid by the shopkeeper=Rs.72
Tax earned by the shopkeeper=12% of 3000=
100
12
×3000=Rs.360
VAT=tax earned by the shopkeeper-Tax paid by the shopkeeper
∴Tax paid by the shopkeeper=Tax earned by the shopkeeper-VAT
⇒360−72=Rs.288
Let the shopkeeper by the article at Rs.x
∴12% of x=288
⇒
100
12x
=288
⇒x=
12
288×100
=Rs.2400
Price of the article inclusive tax=2400+288=Rs.268
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