4. An article is available for 1.650 inclusive of 10% VAT. Find the list price. What will be its price if the rate of
VAT changes to 12%?
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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% of Rs.7,500
=
100
12
× Rs.7,500=Rs.900
∵ VAT = Tax charged - Tax paid
⇒ Rs.180=Rs.900−Tax paid
⇒ Tax paid by the shopkeeper=Rs.900−Rs.180=Rs.720
If the shopkeeper buys the article for Rs. x
Tax on it = 12% of Rs. x = Rs. 720 ⇒x= Rs.6,000
∴ The price (inclusive of tax) paid by the shopkeeper = Rs. 6,000+Rs.720=Rs.6,720
I hope this helps you
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