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