Rohit purchased a pair of shoes for Rs 882 inclusive of VAT.

Let the rate of VAT be x%. Then, we have:

$840+x \%$ of $840=882$

$\Rightarrow\left(\frac{x}{100} \times 840\right)=882-840$

$\Rightarrow \frac{84 x}{10}=42$

$\Rightarrow x=\left(42 \times \frac{10}{84}\right)$

$=5$

$\therefore$ The rate of VAT is $5 \%$