A is 16.66% less than B. If value of A is 500, then what is the value of B?

According to the question, $A=left(100-frac{50}{3} ight) \%$ of $B$ $Rightarrow A=B imes frac{250}{300}$ $Rightarrow A=frac{5 B}{6}$ $Rightarrow B=frac{6 A}{5}=frac{6 imes 500}{5}=600$

Alternative:

$16.66 \%$ may be written as $16 frac{2}{3} \%$

Fraction of $16 frac{2}{3} \%=frac{50}{3} imes frac{1}{100}=frac{-1}{6} uparrow 5 quad 16 frac{2}{3} \%$

( A is 1 less than B)

A B

5 6

According to question,

5 unit = 500

1 unit $=frac{500}{5}$

6 unit $=frac{500}{5} imes 6=600$