Math Problem Statement

A laptop is priced at $1,200. It is on sale with a 15% discount. After applying the discount, a sales tax of 7% is added.

What is the final price of the laptop?

Solution

To calculate the final price of the laptop, we need to apply the discount and then add the sales tax. Let's go step by step:

  1. Initial Price: $1,200

  2. Discount: 15% of $1,200

    Discount=0.15×1200=180\text{Discount} = 0.15 \times 1200 = 180

    So, the price after discount is:

    Discounted Price=1200180=1020\text{Discounted Price} = 1200 - 180 = 1020

  3. Sales Tax: 7% of the discounted price

    Sales Tax=0.07×1020=71.4\text{Sales Tax} = 0.07 \times 1020 = 71.4

  4. Final Price: Add the sales tax to the discounted price:

    Final Price=1020+71.4=1091.4\text{Final Price} = 1020 + 71.4 = 1091.4

Thus, the final price of the laptop is $1,091.40.

Would you like further details or have any questions?

Here are 5 related questions:

  1. What would the final price be if the discount was 20% instead of 15%?
  2. How much would the total sales tax amount be without any discount?
  3. If the discount was reduced to 10%, what would the final price be?
  4. What if the sales tax was 10% instead of 7%—what would the final price be?
  5. What is the percentage reduction in the original price after applying both the discount and tax?

Tip: To quickly calculate discounts, multiply the price by the percentage as a decimal (e.g., 15% = 0.15).

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Math Problem Analysis

Mathematical Concepts

Percentage
Discount
Sales Tax
Basic Arithmetic

Formulas

Discount = (Discount Percentage × Original Price)
Discounted Price = Original Price - Discount
Sales Tax = (Tax Percentage × Discounted Price)
Final Price = Discounted Price + Sales Tax

Theorems

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Suitable Grade Level

Grades 6-8