Explanation:
Step 1: Calculate the discounted price for each item.
Item 1: Bluetooth headphones
Price: $100
Discount: 20% off
Discounted price = $100 - ($100 * 0.20)
Discounted price = $100 - $20
Discounted price = $80
Item 2: Portable speaker
Price: $150
Discount: 10% off
Discounted price = $150 - ($150 * 0.10)
Discounted price = $150 - $15
Discounted price = $135
Step 2: Calculate the tax amount for each item.
Tax rate: 8.5%
Item 1: Bluetooth headphones
Tax amount = $80 * 0.085
Tax amount = $6.80
Item 2: Portable speaker
Tax amount = $135 * 0.085
Tax amount = $11.48
Step 3: Calculate the total cost for each item.
Item 1: Bluetooth headphones
Total cost = Discounted price + Tax amount
Total cost = $80 + $6.80
Total cost = $86.80
Item 2: Portable speaker
Total cost = Discounted price + Tax amount
Total cost = $135 + $11.48
Total cost = $146.48
Step 4: Calculate the total expenditure.
Total expenditure = Total cost of item 1 + Total cost of item 2
Total expenditure = $86.80 + $146.48
Total expenditure = $233.28
We determine that the total expenditure for the Bluetooth headphones and portable speaker, after discounts and taxes, amounts to $233.28.