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- {
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- "question_id": "TEST_PERCENT_001",
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- "topic": "percent",
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- "subtopic": "sequential_change",
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-
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- "first_step": "Let the original value be 100 to simplify percentage calculations.",
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-
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- "hints": [
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- "Focus on the fact that the second percentage is applied after the first change.",
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- "After a 20% decrease, the value becomes 80% of the original.",
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- "Now apply the increase to the new value, not the original."
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- ],
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-
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- "walkthrough_steps": [
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- "Start by letting the original value be 100.",
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- "Apply the first percentage change (decrease).",
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- "Take that result and apply the second percentage change.",
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- "Compare the final value to the original."
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- ],
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-
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- "method_explanation": [
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- "Sequential percentage changes must be applied step by step.",
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- "Do not combine percentages directly.",
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- "Always apply each percentage to the current value, not the original."
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- ],
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-
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- "common_trap": "Adding or subtracting the percentages directly instead of applying them sequentially."
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- }
 
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+ {"question_id":"TEST_PERCENT_001","question_text":"If 40% of a number is 24, what is the number?","topic":"percent","category":"Quantitative","first_step":"Treat 24 as the part and the unknown number as the whole.","hint_ladder":["The equation should connect 40% of the whole to 24.","Rewrite 40% as 0.4 or 2/5 before solving.","Set up part = percent × whole, then isolate the whole."],"walkthrough_steps":["Let the unknown number be n.","Translate the statement into 0.4n = 24.","Undo the multiplication by 0.4 to isolate n.","Check that 40% of your result returns 24."],"method_steps":["Percent problems become straightforward once you identify the base quantity.","Here, 24 is the part and the unknown number is the whole."],"answer_path":["Write the percent relationship first.","Then isolate the whole quantity without jumping straight to a guess."],"common_trap":"Treating 24 as the whole instead of the part."}