Crack the Arithmetic Reasoning Test with Confidence

If a watch costs $80 and is marked down by 15%, what is the new price?

• A. $75
• B. $68
• C. $70
• D. $65

Answer: (B)

To determine the new price of the watch after the markdown, you start by calculating the amount of the discount. The watch is originally priced at $80 and has a markdown of 15%. To find the discount amount, you multiply the original price by the discount percentage expressed as a decimal (15% = 0.15). Calculating the discount: \[ \text{Discount} = 80 \times 0.15 = 12 \] Next, you subtract this discount from the original price to find the new price: \[ \text{New Price} = 80 - 12 = 68 \] Thus, the new price of the watch after applying the 15% markdown is $68. This aligns perfectly with the calculation and confirms that $68 is indeed the correct answer, reflecting the impact of the discount on the original price.

When gearing up for the Armed Forces Classification Test (AFCT), you might ask yourself: “How do I prepare effectively for arithmetic reasoning?” Well, cherish those questions because they’re part of the journey! Today, let’s unravel a typical problem you might bump into, sharpening your skills and boosting your confidence while we’re at it.

Picture this: A watch priced at $80 undergoes a markdown of 15%. How can you figure out the new price? This is more than a mere math problem; it's a classic applicable scenario that hits close to home. We've all encountered a tempting discount when shopping—who doesn't love a good deal?

Let’s break it down together. To find the price after the discount, first, you need to determine the discount amount. It sounds complicated, but hang on—it's as easy as pie!

Calculating the Discount

To kick things off, you’ll convert the percentage to its decimal form. A 15% discount translates to 0.15. Now, with this number, you can find out just how much money you’ll save. Here’s how it goes:

[

\text{Discount} = \text{Original Price} \times \text{Discount Percentage}

]

[

\text{Discount} = 80 \times 0.15 = 12

]

Bam! You just calculated that the discount is $12. So, what’s next?

Now, you’ll want to subtract this discount from the original price to discover the new price:

[

\text{New Price} = \text{Original Price} - \text{Discount}

]

[

\text{New Price} = 80 - 12 = 68

]

There you have it! The new price of the watch after that 15% markdown? That’s right—$68. It’s not just math; it’s decision-making for everyday life. And let’s face it, wouldn’t you rather pay $68 instead of $80? It’s all part of being savvy with your finances!

Why Arithmetic Reasoning Matters

Now that you've grasped the concept, why should you care? Well, arithmetic reasoning isn't just for the test. It spills over into everyday life—think grocery shopping, budgeting, or even planning a weekend outing. Plus, being comfortable with numbers can empower you in countless situations. Whether you’re on your way to military success or simply handling your personal budget, each calculation sharpens your mind and bolsters your confidence.

A Final Thought

As you prepare for your AFCT, don't shy away from these kinds of problems. They may seem simple at first glance, but they hold the hand of real-world applications. Being able to calculate discounts, grasp percentages, and analyze numbers can make a massive difference—not just on the test day, but in life beyond those walls.

So, gear up, keep those pencil grips tight, and remember: math is just a series of steps to a happier, more financially aware you. You've got this!