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Question
A company sells an article to a dealer for 40,500 including VAT (sales-tax). The dealer sells it to some other dealer for 42,500 plus tax. The second dealer sells it to a customer at a profit of 3,000. If the rate of sales-tax under VAT is 8%, find :
1) The cost of the article (excluding tax) to the first dealer.
2) The total tax (under VAT) received by the Government.
3) The amount that a customer pays for the article.
Solution
1) Let the cost price of an article (excluding tax) to the first dealer be Rs x
Now CP. of an article to a dealer including tax (8%) = Rs 40500
=> x + 8% x X = 40500
`=> 108/100 x = 40500`
`=> x = 37500`
Thus the cost of an article to the first dealer is Rs 37500
2) Now tax received by Government
= 8% of Rs (42500 - 3000)
= 8% of Rs 45500
`= 8/100 xx Rs 45500 `
=Rs 3640
3) The amount thata customer pays for the article
= Rs (42500 + 3000 + 3640)
= Rs 49140