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Dave bought a new game for $28. The tax rate was 7%. How much was the tax? Calculating the Cost with Tax

Posted on July 22, 2024

When looking at our everyday transactions, understanding how much we actually pay after taxes can be crucial. This is especially true for discretionary purchases like video games. Take, for example, Dave’s recent purchase: a brand new game priced at $28. However, with a sales tax rate of 7%, calculating the total cost isn’t as straightforward as it looks. This guide will break down the process of determining the tax amount and the overall cost of an item after tax in an accessible way.

Understanding Sales Tax

Sales tax is a consumption tax imposed by the government on the sale of goods and services. The tax is a percentage of the retail price and varies by state or country. When a consumer purchases a product, the sales tax is added to the retailer’s selling price, and the total amount is what the buyer pays.

Calculating the Tax on Dave’s Game Purchase

Let’s dissect Dave’s purchase to understand how much the 7% sales tax affects the final price of the game. Calculating the tax amount involves a simple mathematical operation that we’ll explore step by step.

Step 1: Convert the Percentage to Decimal

To calculate the tax amount, first, convert the tax rate from a percentage to a decimal. For a 7% tax rate, divide 7 by 100:

  • 7% (Tax Rate) / 100 = 0.07

Step 2: Multiply the Original Price by the Decimal

Next, multiply the original price of the item ($28) by the decimal form of the tax rate (0.07):

  • $28 (Original Price) * 0.07 (Tax Rate in Decimal) = $1.96

Step 3: Add the Tax to the Original Price

Finally, add the tax amount to the original price of the game to find out the total cost:

  • $28 (Original Price) + $1.96 (Tax) = $29.96

The Complete Breakdown

Item Description Cost
Original Price of the Game $28
Sales Tax (7%) $1.96
Total Cost with Tax $29.96

Why Knowing This Matters

Understanding how to calculate the sales tax on purchases helps consumers make informed decisions about their spending. It allows individuals to budget more accurately and avoid unexpected expenses at the checkout. In Dave’s case, knowing the total cost of his game purchase including tax ensures he maintains his financial planning without surprises.

Conclusion

Calculating sales tax might seem daunting at first, but with a basic understanding of percentages and simple multiplication, anyone can determine the total cost of their purchases with tax. Remember, the key steps involve converting the tax rate to a decimal, multiplying it by the item’s cost, and adding the resulting tax to the original price. This enables shoppers like Dave to fully grasp the financial aspects of their transactions, leading to more conscious buying decisions.

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