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

`(100)/(85.79) (\%)/(\$) =(x)/(73.35) (\%)/(\$) \\ \\x=100*73.35/85.79 \\ \\x=85.5 \%`

therefore

the answer is the option D

`85.5 \%`