All the prices at a retail shop have increased by 6%, suppose x is the price of an item at this shop, which of these expression correctly represents the statement above.

1 answer

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:

  1. Calculate the amount of the increase: \( 0.06x \) (which is 6% of the original price).
  2. 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 \( 1.06x \).