The work done by a thermodynamic system during a cyclic process is equal to the net area enclosed by the cycle on a P-V diagram.

1. Sign Convention: The work done is positive if the cycle is traced in a clockwise direction (expansion dominates) and negative if traced in a counter-clockwise direction (compression dominates).
2. Net Work: If the cycle consists of multiple loops (e.g., a figure-8 shape), the total work is the algebraic sum of the areas of individual loops.

In this specific problem (referencing a standard AIPMT 2014 figure implied by the answer), the cycle $ABCDA$ typically involves two loops of equal area: one traced clockwise (positive work) and the other counter-clockwise (negative work). If the areas are equal, the positive and negative work cancel each other out, resulting in zero net work done by the system.