A store sells a new pair of sneakers for $120. A costumer signed up for a free membership card an received a 20% discount off the price. Sales tax of 8% was applied after the discount what was the final price of the sneakers?

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The Solution.

The original price of the sneakers is $120.

A discount of 20% was given.

[tex]\begin{gathered} \text{Actual Discount=20\% of 120} \\ =\frac{20}{100}\times120=2\times12=\text{ \$24} \end{gathered}[/tex]

So, the discounted price of the sneaker is

[tex]\text{Discount Price =120-24 = \$96}[/tex]

Now, applying 8% sales tax, we get

[tex]\begin{gathered} \text{Sales tax =8\% of 96} \\ \text{Sales tax = }\frac{8}{100}\times96=0.08\times96=\text{ \$7.68} \end{gathered}[/tex]

So, the final price of the sneakers is

[tex]\text{ Final Price = 96 +7.68 =\$103.68}[/tex]

Therefore, the correct answer is $103.68

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