Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2025 - Free AFCT Practice Questions and Study Guide

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Question: 1 / 400

If a store sells an item for $150 after a 25% discount, what was the original price?

$175

$180

$200

To determine the original price of the item before the discount was applied, you can set up the problem using the concept of percentages.

The store sells the item for $150 after applying a 25% discount. This means that the sale price represents 75% of the original price, since 100% - 25% = 75%.

Let’s denote the original price as 'X'. According to the information provided, 75% of 'X' equals $150:

0.75X = 150

To find 'X', you would divide both sides of the equation by 0.75:

X = \frac{150}{0.75}

Calculating that gives:

X = 200

So, the original price of the item was $200. This answer is consistent with the calculation of a discount, showcasing a fundamental understanding of how discounts affect pricing.

In this context, understanding how percentages relate to prices is crucial for solving similar problems in the future. Knowing that the sale price is a fraction of the original price can assist in determining initial pricing based on subsequent sales data.

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Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2025 - Free AFCT Practice Questions and Study Guide

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