Triangle Formed By Intercepts

Geometry Level 4

In $\triangle ABC$ $AB = 10$ and $AC = 15$ . $AE$ is the median from $A$ and $AD$ is the internal bisector of $\angle BAC$ . The point $P$ is on $AC$ such that $AP = 6$ . $BP$ intersects $AD$ at $N$ and $AE$ at $M$ . What is the value of

$\dfrac{[ABC]}{[ANM]}$ ?