A 15% discount is applied to a $350 item, and then a 10% sales tax is added to the discounted price. What is the final price? - Decision Point
Final Price Breakdown: How a 15% Discount and 10% Sales Tax Affect a $350 Item
Final Price Breakdown: How a 15% Discount and 10% Sales Tax Affect a $350 Item
Understanding how discounts and taxes combine is essential when shopping, especially when trying to calculate the true cost of a purchase. In this article, we’ll explore exactly what the final price is when a $350 item receives a 15% discount, followed by a 10% sales tax applied to the discounted amount.
Step 1: Apply the 15% Discount
Understanding the Context
To start, we calculate 15% off $350.
Discount amount = 15% of $350
= (15 / 100) × $350
= $52.50
Discounted price = Original price – Discount
= $350 – $52.50
= $297.50
So after the discount, the price drops to $297.50.
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Key Insights
Step 2: Add 10% Sales Tax
Next, we calculate 10% sales tax on the reduced price of $297.50.
Sales tax = 10% of $297.50
= (10 / 100) × $297.50
= $29.75
Final price = Discounted price + Sales tax
= $297.50 + $29.75
= $327.25
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Summary
- Original price: $350
- 15% discount: $52.50 → New price: $297.50
- 10% sales tax: $29.75
- Final total price: $327.25
This breakdown shows how discounts reduce the upfront cost, while taxes add a measurable percentage-based increase. Knowing exactly how these computations work helps shoppers make informed decisions and avoid confusion at checkout.
Always calculate both discounts and taxes to keep a clear picture of your spending—because the final price often tells the full story.
