To find the profit value made by the hotel for one night, we need to calculate the cost price first.
Step 1: Calculate the cost price without VAT
The VAT-inclusive price is 1896 euros, and the VAT rate in Italy is 25%. Let's denote the cost price without VAT as CP.
CP = VAT-inclusive price / (1 + VAT rate)
CP = 1896 euros / (1 + 0.25)
CP = 1516.8 euros
Step 2: Calculate the profit value
The hotel gets a return of 10% out of the VAT-inclusive price. Let's denote the profit value as PV.
PV = 10% of VAT-inclusive price
PV = 0.10 * 1896 euros
PV = 189.6 euros
Answer: The profit value made by the hotel for one night is 189.6 euros.