SAT Math Practice Question #218 (Medium (635)) | Test Citadel
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SAT Math Difficulty: Medium (635)

Digital SAT Math Practice Question #218

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

A boutique clothing store increases the price of a winter coat by \( 20\% \) at the start of the season. At the end of the season, the store decreases the new price of the coat by \( 20\% \). If the final price of the coat is \( \$96 \), what was the original price of the coat before any changes were made?
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Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
Tactical Insight (Hint 1)

Break down the given equation or algebraic constraints step-by-step. Isolate the target variable before substituting known quantities.

Elimination Framework (Hint 2)

Elimination Shortcut: Check the extremes or test answer choices starting with C to binary search the correct magnitude.

Masterclass Solution & Distractor Trap Analysis

The SAT absolutely loves this concept because it relies on a very common logical trap. Let's break down the math. Let \( x \) be the original price of the coat. First, the price is increased by \( 20\% \). To represent a \( 20\% \) increase...

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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