Mastering Arithmetic Reasoning for the AFCT: Understanding Discounts

Understanding how to perform arithmetic reasoning is crucial when preparing for the Armed Forces Classification Test (AFCT). One area that often trips people up is calculating discounts. You might've encountered a question like this:

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A store offers a discount of 20% on a shirt that costs $50. What will be the final sale price of the shirt after the discount?
A. $40
B. $30
C. $25
D. $35

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This might seem straightforward, but let’s break it down because the process you use here can apply broadly to many types of problems on the AFCT. Are you ready? Let’s do this!

Calculating the Discount
First off, you need to find how much that 20% discount actually is on the shirt that costs $50. The best way to do this is to convert the percentage into a decimal. Think of it like this: percentages are just fractions based on 100, so 20% becomes 0.20. Easy, right?

To find the discount amount, you multiply the original price by the discount percentage expressed as a decimal:
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Discount amount = Original price × Discount percentage
= $50 × 0.20
= $10

So, there you have it! The discount is $10—but we’re not finished yet.

Finding the Final Sale Price
Now that we know the discount amount, we need to determine what you’ll actually pay for the shirt. Here’s how you do it:
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Final sale price = Original price - Discount amount
= $50 - $10
= $40

Voila! The final sale price of that shirt, after applying the 20% discount, is indeed $40. This calculation showcases how you can easily use arithmetic reasoning to understand discounts, helping you with not just this test but in everyday shopping and budgeting too.

But here’s something to think about—how often do we overlook the simple math involved in our day-to-day purchases? Next time you’re at the store and see that flashy “20% off” sign, you’ll not only be able to calculate your savings, but you’ll also feel that little thrill of knowing exactly what you’re paying. And isn’t that confidence a wonderful feeling?

When preparing for the AFCT, remember that arithmetic reasoning isn't just about memorizing formulas—it's about applying them in real-life situations. You can do this! So let each practice question strengthen your skills and build your self-assurance for the test day.

Keep practicing, and remember: each percentage, each calculation brings you one step closer to acing that exam!