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Question
The marked price of an article is Rs 900 and the rate of sales tax on it is 6%. If on selling the article at its marked price, a retailer has to pay VAT = Rs 4.80; find the money paid by him (including sales tax) for purchasing this article.
Numerical
Sum
Solution
The sale price of n article for retailer = Rs 900
Tax charged by retailer = 6% of Rs 900
`= 6/100 xx "Rs" 900 = "Rs" 54`
VAT paid by retailer = Rs 4.80
∴ VAT paid = Tax charge - Tax paid
=> Rs 4.80 = Rs 54 - Tax paid
=> Tax paid = Rs 54 - Rs 4.80 = Rs 49.20
Let cost price = Rs y
∴ 6% of y = Rs 49.20
`=> 6/100 xx y = "Rs" 49.20`
`=> y = "Rs" (49.20 xx 100)/6 = "Rs" 820`
Purchase price for retailer = Rs 820 + Rs 49.20 = Rs 869.20
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