The capacit

Let the capacity of smaller bottle be 3x and larger bottle be 4x

When the smaller bottle was filled twice and the larger bottle was filled and emptied into a vessel 1

⇒ 3x × 2 + 4x

⇒ 6x + 4x = 10x

When twice the smaller and half the larger was emptied into vessel 2.

⇒

⇒ 6x + 2x

⇒ 8x

Quantity in vessel 1 = 10x

Quantity in vessel 2 = 8x

Ratio of quantities of vessel