The price of an article is cut $10 \%.$ To restore it to its former value, the new price must be increased by:
$\textbf{(A) \ } 10 \% \qquad\textbf{(B) \ } 9 \% \qquad \textbf{(C) \ } 11\frac{1}{9} \% \qquad\textbf{(D) \ } 11 \% \qquad\textbf{(E) \ } \text{none of these answers}$
[Without loss of generality](https://artofproblemsolving.com/wiki/index.php/Without_loss_of_generality), let the price of the article be 100. Thus, the new price is $.9\cdot  100= 90$. Then, to restore it to the original price, we solve $90x=100$. We find $x=1\dfrac{1}{9}$, thus, the percent increase is $1\dfrac{1}{9}-1=\dfrac{1}{9}=\boxed{\textbf{(C) \ } 11\frac{1}{9}\%}$.