Question: Max has €64. Books cost €12 each. How many can he buy?
Answer: 5 books

Question: Max has €64. Books cost €12 each. How many can he buy?

Thought process:
1. Max has €64 available
2. Each book costs €12
3. Number of books = €64 ÷ €12 = 5.33
4. Since you can't buy partial books: 5 books
5. Cost: 5 × €12 = €60
6. Remainder: €64 - €60 = €4

Answer: Max can buy 5 books and has €4 left over.

Question: A company has 156 employees. 40% work part-time. 
How many full-time employees are there?

Let's think about this step by step.

Step 1: Total number of employees = 156
Step 2: Part-time employees = 40% of 156 = 0.4 × 156 = 62.4 ≈ 62
Step 3: Full-time employees = Total - Part-time = 156 - 62 = 94

Answer: There are 94 full-time employees.

Example 1:
Question: Sarah has 20 apples. She gives her sister 25% and eats 3. 
How many remain?
Solution:
- Start: 20 apples
- 25% of 20 = 5 apples for sister
- After sharing: 20 - 5 = 15 apples
- After eating: 15 - 3 = 12 apples
Answer: 12 apples remain.

Example 2:
Question: A store offers 15% discount on an item for €80. 
What is the final price?
Solution:
- Original price: €80
- Discount: 15% of €80 = 0.15 × €80 = €12
- Final price: €80 - €12 = €68
Answer: The final price is €68.

Your task:
Question: Lisa saves €200 monthly. After 8 months she buys a 
laptop for €1,200. How much money remains?

Analyze the profitability of this product line:
- Monthly fixed costs: €5,000
- Variable costs per unit: €15
- Selling price: €45
- Average sales: 250 units/month

Let's calculate profitability step by step:
1. Monthly revenue = 250 × €45 = €11,250
2. Total variable costs = 250 × €15 = €3,750
3. Total costs = Fixed costs + Variable costs = €5,000 + €3,750 = €8,750
4. Profit = Revenue - Total costs = €11,250 - €8,750 = €2,500
5. Profit margin = (€2,500 / €11,250) × 100 = 22.2%

The product line is profitable with €2,500 profit and 22.2% margin.

Task: Plan resources for a 6-month project:
- 3 developers (€100/hour each)
- 1 designer (€80/hour)
- Estimated hours: 960

Thinking steps:
1. Developer hours: 3 × €100 × 960h = €288,000
2. Designer hours: 1 × €80 × 960h = €76,800
3. Total personnel costs: €288,000 + €76,800 = €364,800
4. Overhead (20%): €364,800 × 0.2 = €72,960
5. Buffer (10%): €364,800 × 0.1 = €36,480
6. Total budget: €364,800 + €72,960 + €36,480 = €474,240

Should our company invest in new software for €50,000?

Analysis steps:
1. Current costs due to inefficiency: €8,000/month
2. Expected savings through software: 60%
3. Monthly savings: €8,000 × 0.6 = €4,800
4. Amortization period: €50,000 ÷ €4,800 = 10.4 months
5. ROI after 2 years: (€4,800 × 24 - €50,000) / €50,000 = 130%

Recommendation: Yes, the investment pays for itself in less than a year.

"Explain your thinking process step by step"

"Solve this in the following steps:
1. Identify the given information
2. Determine what is being asked
3. Choose the right method
4. Perform the calculation
5. Verify the result"

"Solve the problem and then check:
- Is my logic correct?
- Have I considered all information?
- Does the result make sense?"