CAT 2025 Geometry & Mensuration — Previous Year Question

In a $\triangle A B C$, points D and E are on the sides BC and AC , respectively. BE and AD intersect at point T such that $\mathrm { AD } : A T = 4 : 3$, and $\mathrm { BE } : \mathrm { BT } = 5 : 4$. Point F lies on AC such that DF is parallel to BE . Then, $\mathrm { BD } : \mathrm { CD }$ is