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The question in the image asks for the pre-tax price of a holiday cabin, given that the post-tax price is 55€ and the value-added tax (VAT) is 10%.

We can solve this by reversing the tax calculation. If the post-tax price is 55€ and the VAT is 10%, we know that the 55€ includes both the base price and the tax. The formula for the post-tax price is:

\[
\text{Post-tax price} = \text{Pre-tax price} \times (1 + \text{VAT rate})
\]

Given:
- Post-tax price = 55€
- VAT rate = 10% = 0.10

Rearranging to solve for the pre-tax price:

\[
\text{Pre-tax price} = \frac{\text{Post-tax price}}{1 + \text{VAT rate}} = \frac{55}{1 + 0.10} = \frac{55}{1.10} \approx 50.00 \, \text{€}
\]

The pre-tax price is 50€.

Do you have any questions or need further details?

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Here are 5 related questions for further practice:
1. How would the pre-tax price change if the VAT were 15%?
2. If the VAT was reduced to 5%, what would the pre-tax price be for a 55€ post-tax price?
3. How would you calculate the post-tax price if the pre-tax price is 60€ and the VAT is 10%?
4. What happens to the pre-tax price if the post-tax price is 70€ and the VAT remains 10%?
5. How is the VAT calculation affected if the VAT rate changes frequently in a region?

**Tip:** When calculating prices with taxes, always remember to divide by (1 + tax rate) to remove the tax and find the base price.

The post-tax market price of a holiday cabin is 55€ per night. The value added tax for hospitality and accommodation services is 10%. What is the pre-tax price of the cabin per night?

Learn how to calculate the pre-tax price of a holiday cabin when given the post-tax price of 55€ and a VAT rate of 10%. This problem focuses on percentage and tax calculations, suitable for students in Grades 7-9.

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