Finding Total Price with Tax
Learn how to calculate the total cost of an item when sales tax is added.
Definition
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Worked Examples
A backpack costs 40 dollars. The sales tax is 8%. What is the total price?
Identify the values
Original price = 40 dollars, Tax rate = 8% = 0.08 → Values identified
Calculate the tax amount
→ Tax = 3.20 dollars
Add tax to original price
→ Total = 43.20 dollars
Answer: The total price is 43.20 dollars
Common Mistakes
Calculating tax but forgetting to add it to the original price
Why it's wrong: Finding the tax amount is only half the problem. You need to add it to get the total you actually pay.
Correct: Always complete both steps: calculate tax, then add it to the original price. Or use the shortcut: multiply by .
Using the tax rate as the multiplier directly (e.g., multiplying by 0.08 instead of 1.08)
Why it's wrong: Multiplying by 0.08 gives you only the tax amount, not the total price. You need to include the original 100%.
Correct: For the one-step method, add 1 to the tax rate. With 8% tax, multiply by 1.08, not 0.08.
Not rounding to two decimal places for money
Why it's wrong: Money calculations should be rounded to the nearest cent (two decimal places).
Correct: Always round your final answer to two decimal places when working with currency.
Moving the decimal point incorrectly when converting percentages
Why it's wrong: 8% equals 0.08, not 0.8 or 8.0. Each percent equals one hundredth.
Correct: To convert a percentage to a decimal, divide by 100 (move decimal point two places left). 8% = 8 ÷ 100 = 0.08
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Practice Problems
18 problemsA shirt costs 25 dollars. With 8% sales tax, which calculation gives the total price?
Why It Matters
- Shopping: Know exactly how much you'll pay before reaching the checkout
- Budgeting: Plan your spending accurately by accounting for tax
- Comparing prices: Determine the true cost when shopping at stores with different tax rates
- Financial planning: Make informed decisions about purchases big and small
Real World Applications
Shopping Trip Budget
When shopping, knowing the total with tax helps you stay within your budget.
Example:
You have 50 dollars to spend. A shirt costs 45 dollars. With 8% tax, the total is dollars. You can afford it!
You want to buy a pair of headphones priced at 35 dollars. The sales tax in your area is 6%.
What is the total price you will pay?
Step 1: Write the mathematical expression
Calculate: 35 dollars × 1.06
Restaurant Bills
Restaurant prices often don't include tax, so you need to calculate the total before tipping.
Example:
Your meal costs 28 dollars before tax. With 7% tax: dollars. Now you can calculate your tip on top of that!
Your family's dinner bill is 75 dollars before tax. The restaurant tax rate is 8%.
What is the subtotal including tax (before tip)?
Step 1: Write the mathematical expression
Calculate: 75 dollars × 1.08
Online Shopping
Online stores may show prices without tax until checkout. Knowing how to calculate helps you avoid surprises.
Example:
A laptop is listed at 899 dollars. With 5% tax: dollars total.
You're buying a phone case online for 19.99 dollars. Your state charges 10% sales tax.
What will the checkout total be?
Step 1: Write the mathematical expression
Calculate: 19.99 × 1.10
Key Takeaways
- 1Total price equals the original price plus the tax amount
- 2Tax amount is calculated by multiplying the original price by the tax rate (as a decimal)
- 3The shortcut: multiply the original price by
- 4For 8% tax, multiply by 1.08. For 6% tax, multiply by 1.06. And so on.
- 5Always round money to two decimal places (cents)
Frequently Asked Questions
Glossary
- Sales tax
- A percentage of the purchase price collected by the government on retail sales
- Original price
- The listed or sticker price before tax is added
- Total price
- The final amount paid, including tax
- Tax rate
- The percentage charged as tax (e.g., 8% or 0.08)
- Multiplier
- The number you multiply by to find the total in one step (1 + tax rate)
Formula Card
Two-Step Method
Calculate tax separately, then add
One-Step Shortcut
Direct calculation using multiplier