If the original price of an item at the retail shop is \( x \), and there has been an increase of 6%, the new price can be calculated as follows:
- Calculate the amount of the increase: \( 0.06x \) (which is 6% of the original price).
- Add this increase to the original price:
\[ x + 0.06x \]
This simplifies to:
\[ 1.06x \]
Therefore, the expression that correctly represents the new price after a 6% increase is \( 1.06x \).