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Wynona buys some new boots that are priced $85.79. She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is _____ of the original price. a. 84% b. 84.5% c. 85% d. 85.5%

Respuesta :

alexyshay

the correct answer is D

calculista

we know that

the original price is [tex]\$85.79[/tex]

The original price represent the  [tex]100\%[/tex]

so

1) First discount of [tex]10\%[/tex]

Find the new price 1

[tex]\$85.79*(1-0.10)=\$77.21[/tex]

2) Second successive  discount of [tex]5\%[/tex]

Find the new price 2

[tex]\$77.21*(1-0.05)=\$73.35[/tex]

3)   Find by proportion the total percentage of discount

[tex]\frac{100}{85.79} \frac{\%}{\$} =\frac{x}{73.35} \frac{\%}{\$} \\ \\x=100*73.35/85.79 \\ \\x=85.5 \%[/tex]

therefore

the answer is the option D

[tex]85.5 \%[/tex]

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