The development of mathematics in Central Asia is widely reflected in scientific research and popular science literature on the history of mathematics, and in periodicals, but there are no studies focused on the interaction between mathematical methods and market problems in medieval Central Asia. In order to reveal the evolution of the interaction between mathematical methods and market problems in medieval Central Asia and its conditions, historical analysis and theoretical analysis of philosophical, mathematical and methodological literature were employed in the study. The object of the study is the interaction between mathematical methods and market problems in the works by scientists of medieval Central Asia. The subject of the study is mathematical methods used to solve market problems. The periodization of the development of science in medieval Central Asia defined by the orientalist G. Sieter revealed the evolution of the interaction between mathematical methods and market problems and its conditions in medieval Central Asia. In the Middle Ages, the algebraic treatise by al-Khwarizmi Short book on the calculus of algebra and almukabala was a breakthrough scientific work in Central Asia. First, al-Khwarizmi, then al-Buzjani and al-Biruni used mathematical methods in their works to solve market problems. The results of the study reveal the evolution of the interaction between mathematical methods and market problems in medieval Central Asia and its conditions. The results are of relevance since they help fill the gap in the study of development of economic and mathematical methods in medieval Central Asia.