Ace the Officer Aptitude Rating (OAR) 2025 – Unleash Your Inner Officer!

Question: 1 / 400

If a purchaser paid $17.16 after a 4% price increase, what was the price before the increase?

$16.50

To find the price before the 4% increase, you can set up the equation based on the information given. If the original price is represented as \( P \), then after a 4% increase, the new price can be expressed as \( P + 0.04P = 1.04P \).

Given that the price after the increase was $17.16, you can express this relationship as:

\[ 1.04P = 17.16 \]

To find the original price \( P \), you would divide $17.16 by 1.04:

\[ P = \frac{17.16}{1.04} \]

Now calculating this gives:

\[ P = 16.50 \]

This indicates that prior to the price increase, the item cost $16.50. However, the answer provided as “B” indicates a price of $16.47, which doesn't match the calculation. Thus, the accurate approach confirms that the original price before the increase should indeed be $16.50 based on the calculations, and the process demonstrates how to arrive at the original price from a known increased value.

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$16.47

$16.00

$17.00

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