Given that

$756 of \frac{2}{3} of \frac{4}{9} of \frac{3}{7}=?$

By applying VBODMAS rule, we get

$=756\times \frac{2}{3}\times \frac{4}{9}\times \frac{3}{7}=?$

(Reduce the number with

greatest common divisor 3)

$=756\times 2\times \frac{4}{9}\times \frac{1}{7}=?$

$=84\times 2\times 4\times \frac{1}{7}=?$

(Reduce the number with '9' )

= 12×2×4= ?

(Reduce the number with '7' )

= 96 =?

Hence, Option A is correct.