Question

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%

Answer 1

the correct answer is D

Answer 2

we know that

the original price is $\ 85.79$

The original price represent the  $100\%$

so

1) First discount of $10\%$

Find the new price 1

$\ 85.79*(1-0.10)=\ 77.21$

2) Second successive  discount of $5\%$

Find the new price 2

$\ 77.21*(1-0.05)=\ 73.35$

3)   Find by proportion the total percentage of discount

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

therefore

the answer is the option D

$85.5 \%$