Actually if you are living in a country that has an DTA (Double Tax Treaty) with Cyprus then you have to pay the corporate tax in the country where the activity, control and management is. In other words if the Cyprus company is structured right you will have to pay only 10% tax on net profits.
It can't be difficult but Admin may be better to answer this or anyone else
To get back to topic then a DTA is good for one who lives and do business in a country with which the offshore jurisdiction in question has signed a DTA, so you can simply avoid to pay high tax.