IIT JAM 2025 Question 50: Budget constraint and consumer equilibrium

Suppose utility function of a consumer is $u(x,y)=xy$, where $x$ and $y$ are quantities of the two commodities consumed. If price of $x$ is Re.1 and that of $y$ is Rs.2, and income of the consumer is Rs.100, utility maximizing quantity consumption of $x$ is ________.