I very much doubt you would get an apartment for 800TL for the month of August, it's peak season and holiday rental apartments are very busy at that time of year and the highest fees. 800TL is the typical monthly rental for a year round tenant not a holiday let. In fact furnished 2 bed apartments are now fetching up to 1500TL monthly for long term rental. You could try some of the apart hotels but the facilities are usually pretty basic.