📚 Multi-Step Real-World Challenges
Congratulations on reaching the final lesson! These advanced problems combine multiple percentage concepts to solve complex real-world scenarios.
🎯 Challenge 1: Salary Negotiation
You earn $60,000. You negotiate an 8% raise, then receive a 5% bonus on your new salary. What's your total annual compensation?
Note: The bonus is calculated on the NEW salary, not the original!
🎯 Challenge 2: Investment Portfolio
Your portfolio is 60% stocks, 30% bonds, and 10% cash. This year, stocks returned +12%, bonds +4%, and cash +1%. What's your total portfolio return?
This is called a weighted average return!
💡 Expert Tips:
- Always break complex problems into smaller steps
- Be careful about order of operations - percentages don't always commute
- Check if percentages are additive (like portfolio returns) or compound (like successive discounts)
- Verify your answer makes intuitive sense
🎓 You've Mastered Percentages!
From basic concepts to expert-level challenges, you now have the skills to tackle any percentage problem. Keep practicing to maintain your expertise!
🎯 Try It Yourself
Try It Yourself
Current salary $60,000, you get 8% raise, then 5% bonus on new salary. What's your total annual compensation?
Try It Yourself
Portfolio: 60% stocks (+12%), 30% bonds (+4%), 10% cash (+1%). What's the total return?
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