KöMaL 2016 K522

Originally, a theatre sold tickets for 1000 forints (HUF, Hungarian currency) a piece for a particular performance. There are 300 seats altogether. Since the full-priced tickets did not sell so well, the theatre issued a coupon. With the coupon, tickets were available for 25% less (so all further customers bought their tickets in this way). The income achieved from the tickets sold for the reduced price was found to be half as much as the income from those with full price. In spite of all these marketing efforts, there were still 50 tickets remaining. For what price should they be sold immediately before the performance so that the total income should reach 80% of the maximum achievable income originally planned?