📚 Advanced Percentage Problems
Now let's tackle some challenging problems that combine multiple concepts!
🧮 Complex Problem
A store marks up items by 60%, then offers a "40% off" sale. Is the store making or losing money?
1
Cost to store: $100
2
After 60% markup: $100 × 1.60 = $160
3
After 40% discount: $160 × 0.60 = $96
The store loses $4 per item!
🎯 Try It Yourself
Try It Yourself
Company A's profits increased by 25% in Year 1 and decreased by 20% in Year 2. If they started with $1,000,000, what's the final profit?
Year 1: $1M × 1.25 = $1.25M. Year 2: $1.25M × 0.80 = ?
📝 Final Quiz
0 / 3
Test what you learned. Pick the correct answer for each question.
1. A stock rose 25% then fell 20%. Net change?
Explanation:
1.25 × 0.80 = 1.0, exactly back to start.
2. You need $500 final. The price has 10% off and 8% tax. Approximate pre-discount price?
Explanation:
$500 = X × 0.90 × 1.08 → X ≈ $514.40.
3. Going from 40% to 60% market share is what relative increase?
Explanation:
(60 − 40) ÷ 40 × 100 = 50% relative increase.
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