https://file.aiquickdraw.com/mathbot/file/1721329940380dq9qvt6g.jpg

löse für mich die erste und zweite aufgabe

Sure, I'll solve the first and second questions from the provided image.

### Aufgabe 3:

**Given:**
- A grocer buys 10 boxes, each containing 24 bottles of fruit juice.
- Purchase price per bottle is €1.40.
- Delivery is free.
- Supplier grants a natural discount of 2 boxes.
- Considering 20% business costs, 15% profit, and 19% VAT.

**Find the selling price per bottle.**

**Solution:**

1. **Calculate the total number of bottles:**
   \[
   10 \text{ boxes} \times 24 \text{ bottles/box} = 240 \text{ bottles}
   \]

2. **Apply the natural discount:**
   \[
   240 \text{ bottles} + (2 \text{ boxes} \times 24 \text{ bottles/box}) = 240 + 48 = 288 \text{ bottles}
   \]

3. **Calculate the effective purchase price per bottle:**
   \[
   \text{Total cost} = 240 \text{ bottles} \times €1.40/\text{bottle} = €336
   \]
   \[
   \text{Effective purchase price per bottle} = \frac{€336}{288 \text{ bottles}} = €1.1667
   \]

4. **Include business costs:**
   \[
   \text{Cost including business costs} = €1.1667 \times (1 + 0.20) = €1.1667 \times 1.20 = €1.40
   \]

5. **Add profit:**
   \[
   \text{Selling price before VAT} = €1.40 \times (1 + 0.15) = €1.40 \times 1.15 = €1.61
   \]

6. **Add VAT:**
   \[
   \text{Final selling price} = €1.61 \times (1 + 0.19) = €1.61 \times 1.19 = €1.9179 \approx €1.92
   \]

**Answer:**
The selling price per bottle is €1.92.

### Aufgabe 4:

**Given:**
- 260 kg of goods cost €99.60 per 100 kg.
- Freight costs for the entire shipment are €21.70.
- Considering 16.67% business costs, 12.5% profit, and 19% VAT.

**Find:**
a) The selling price for the total quantity.
b) The selling price per kg.

**Solution:**

1. **Calculate the total cost of the goods:**
   \[
   \text{Cost per kg} = \frac{€99.60}{100 \text{ kg}} = €0.996 \text{ per kg}
   \]
   \[
   \text{Total cost for 260 kg} = 260 \text{ kg} \times €0.996/\text{kg} = €258.96
   \]

2. **Add freight costs:**
   \[
   \text{Total cost including freight} = €258.96 + €21.70 = €280.66
   \]

3. **Include business costs:**
   \[
   \text{Cost including business costs} = €280.66 \times (1 + 0.1667) = €280.66 \times 1.1667 = €327.55
   \]

4. **Add profit:**
   \[
   \text{Selling price before VAT} = €327.55 \times (1 + 0.125) = €327.55 \times 1.125 = €368.49
   \]

5. **Add VAT:**
   \[
   \text{Final selling price} = €368.49 \times (1 + 0.19) = €368.49 \times 1.19 = €438.50
   \]

6. **Price per kg:**
   \[
   \text{Price per kg} = \frac{€438.50}{260 \text{ kg}} = €1.6865 \approx €1.69
   \]

**Answer:**
a) The selling price for the total quantity is €438.50.
b) The selling price per kg is €1.69.

Would you like more details on these solutions or have any questions? 

Here are 5 additional questions you might want to ask:
1. How do I calculate the percentage increase or decrease in costs?
2. Can you explain how to apply VAT to a given price?
3. How do business costs affect pricing strategies?
4. What are natural discounts, and how do they impact pricing?
5. Can you help with calculating profit margins?

**Tip:** Always double-check your calculations to ensure accuracy, especially when dealing with percentages and large numbers.

Learn how to calculate selling prices considering discounts, business costs, and VAT with detailed examples. This problem covers percentage calculations, cost analysis, and VAT calculation formulas. Suitable for advanced high school students or college learners.

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