There are two numbers A and B, while A is 33.33% less than B. The product of LCM and HCF of A and B is 384.

Quantity I: 3AB

Quantity II: LCM of (6A – 6) and (3B – 7) 

Calculations:

Let, B is 3x 

So, A = 3x × (100 – 33.33) /100 = 2x

So, 3x × 2x = 384

Or, 6x² = 384,

Or, x² = 384 / 6 = 64

So, x = 8

A is 2 × 8 = 16 and B =  3 × 8 = 24

Quantity I: 3 × 16 × 24 = 1152

Quantity II: LCM of (6A – 6) and (3B – 7) 

LCM of [ 6 × 16 - 6 ] and [3 × 24 - 7 ] = LCM of 90 and 65 = 1170

Quantity I < Quantity II.