KöMaL 2017 K562

Alice went shopping. She only had 10-forint coins (HUF, Hungarian currency) and 1000-forint notes on her, at least one of each. When she had spent half her money, she noticed that she only had 10-forint coins and 1000-forint notes again. She had as many 10-forint coins as the number of 1000-forint notes she had set out with, and she had half as many 1000-forint notes as the initial number of her 10-forint coins. Given that she had spent the least amount of money that meets the given conditions, how many forints had she spent?