Concept: The question tests on the application of Algebra in a DS format

Solution:

Triangles lying on the same base and between 2 parallel lines have the same areas.

So Area of ΔADC = Area of ΔBDC

Now since Δ DEC is common to both triangles, the remaining area of the 2 triangles will be equal.

Therefore Area of ΔAED = Area of ΔBEC

 Hope this helps