If $66\frac{2}{3}\%$ of 75% of one-eighth of a certain number is 179, then $33\frac{1}{3}\%$ of three-fourth of that number is:

716

Let the number be N

ATQ,

66.66% × 75% × \(\frac{1}{8}\) × (x) = 179

N × \(\frac{2}{3}\) × \(\frac{3}{4}\) × \(\frac{1}{8}\) = 179

N = 179 × 16

Now , 33 % of \(\frac{3}{4}\) of 179 × 16

= 179 × 16 × \(\frac{3}{4}\) × \(\frac{1}{3}\)

=  716

So , number is  716