To visit EU countries, you usually need 50-55 EUR per person per day. You can calculate the minimum cost of accommodation in Ayia Napa by multiplying this amount by the number of people traveling and the number of days you plan to spend in Cyprus.
For example, for a week for two people, you should set aside at least 700-800 EUR. This budget will cover a trip to the island during late November to early March, city exploration, dining at restaurants like McDonald's (approximately 15 EUR for lunch for two people), and staying in a hostel (starting from 15-20 EUR per night for one person). Keep in mind that there are fewer special entertainment options during the "low season," so overall, staying in Ayia Napa during this time can be cost-effective.
If this budget doesn't suit your preferences, consider budgeting 1000-1500 EUR for your stay in Ayia Napa. Prices in the resort tend to be higher, especially closer to the sea.