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SXMSAMMY said:
when the conversion rate on the island was 1.1, they charged 1.15 without giving us a good reason, so we used our cc instead of cash, as they did not give us 1:1.

There is no conversion rate for the island. Each business can do whatever exchange rate they wish so you should always ask what the rate is first and if it's for cash only or also for credit.

If the business' exchange rate is worse than the market rate, and some are, I'd use a no foreign fee credit card and have them charge in euros.