Difficult# Heat Gained during Cyclic Process

SATPHY-71KCAS

The graph below represents the pressure and volume for a gas undergoing a cyclic process ($X$ to $Y$ to $Z$ to $X$). Assume that $Y$ and $Z$ are on the same horizontal line, and $Z$ and $X$ are on the same vertical line. The area inside the shape $X–Y–Z–X$ is $1000\ J$.

If the heat absorbed by the gas during process $X–Y$ is $2000\ J$ and the heat released by the gas during process $Y–Z$ is $3000\ J$, how much heat is lost or gained during process $Z–X$?