Can anyone explain me how to approach this problem ??
And can anyone please answer this question for the same.
Is the answer C?
If it were really exam I would have definitely chosen D the solution is a bit lengthy
Which book you are using please share
Area of triangle = 1/2 * base * height
both have the same base and same height.
Answer : C
It’s not ACE and ABE its ABF and FCE please check again.
Oh yeah… sorry but when you remove the common area from triangle ABE and triangle ACE, the resulting area will also get equal.
That would be true if C is at point D forming F as midpoint so since it can be anywhere it can or cannot be true.
No, as long as the height is same, the position of C doesn’t matter. It can be anywhere from B to D (as long as the height remains same) 
The base differs
Incorrect message
Yup this is far more better way to solve it !!!
Nice solution.