Answered

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Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the store and can give her an additional 10% off. If the sales tax is 7.5%, how much does Claire pay for the dress?
a.
$93.24
b.
$103.20
c.
$108.36
d.
$120.40

Sagot :

MrRoyal

Answer:

[tex]Total = \$103.20[/tex]

Step-by-step explanation:

Given

[tex]Amount =\$160[/tex]

[tex]D_1 = 30\%[/tex] --- first discount

[tex]D_2 = 10\%[/tex] --- second discount

[tex]Sales\ Tax = 7.5\%[/tex]

Required

Determine the amount paid

First, we add the total discount:

[tex]D = D_1 + D_2[/tex]

[tex]D = 30\% + 10\%[/tex]

[tex]D = 40\%[/tex]

If she got a discount of 40%, then she paid 60% (i.e. 100% - 40%)

So:

[tex]Amount = 60\% * \$160[/tex]

[tex]Amount = \$96[/tex]

Calculate the sales tax

[tex]Sales\ Tax = 7.5\% * \$96[/tex]

[tex]Sales\ Tax = \$7.2[/tex]

[tex]Total = \$96 + \$7.2[/tex]

[tex]Total = \$103.20[/tex]

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