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Anthony decided to buy two DVDs that we're not included in the deal. His price was $21.60. The sales tax is 8 percent. What was the cost of the two DVDs before the sales tax was added?

Respuesta :

sale price = cost price ( 1 - sales tax)
sales price = 21.60 ( 1- .08)
sales price = $19.872
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Answer: $20

Step-by-step explanation:

Given : The price of two DVDs after tax was added = $21.60   (1)

The sales tax rate= 8% = 0.08 [∵ To convert percent into decimal , we divide it by 100]

Let x be the cost of two DVDs ,

Then tax amount = sales tax rate x Cost of two DVDs

i.e.  tax amount = 0.08x

Now , The cost of two DVDs after sales tax will be : Cost of two DVDs+ Tax amount

x+0.08x = (1+0.08)x =1.08x                       (2)

From (1) and (2) , we get

[tex]1.08x=21.60\\\\\Rightarrow x=\dfrac{21.60}{1.08}\\\\\Rightarrow x=\dfrac{2160}{108}=20[/tex]

Hence, the cost of the two DVDs before the sales tax was added was $20 .

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