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.

Question

a.
84%
b.
84.5%
c.
85%
d.
85.5%

Answer 1

To find the final purchase price of Wynona's boots after successive discounts of 10% and then 5%, we can follow these steps:

1. Calculate the first discount (10%):

   • Original price = $85.79
   • First discount = 10% of $85.79 = 0.10 * 85.79 = $8.579
   • Price after first discount = $85.79 - $8.579 = $77.211

2. Calculate the second discount (5%) on the new price:

   • Second discount = 5% of $77.211 = 0.05 * 77.211 = $3.86055
   • Price after second discount = $77.211 - $3.86055 ≈ $73.35045

3. Calculate the final purchase price as a percentage of the original price:

   • Percentage of original price = (Final price / Original price) * 100
   • Percentage of original price = ($73.35045 / $85.79) * 100 ≈ 85.5%

Thus, the final purchase price of Wynona’s boots is approximately 85.5% of the original price.

So the correct answer is: d. 85.5%