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

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%**