# Ever-Rest sells its mattresses for \$1,085 less 25%.  Posture-Perfect sells its similar mattresses for \$892 less 20%, and 5%.  What second discount would Ever-Rest need to offer to match Posture-Perfect's net price? Round your final answer properly to two decimal places.  ____________ %

Ever-Rest sells its mattresses for \$1,085 less 25%. This means the amount of discount is 25% of \$1,085, or 0.25*\$1,085 = \$271.25. The price after the discount is

\$1,085 - \$271.25 = \$813.75.

Now let's calculate the net price at which Posture-Perfect sells its mattresses.

The price after the first discount is \$892 - 20% of \$892, which is

\$892 - 0.2*\$892 = \$713.6

The price after the second discount is \$713.6 - 5% of \$713.6, which is

\$713.6 - 0.05*713.6 = \$677.92. This is the net price of Posture-Perfect's mattresses.

To match this price, Ever-Rest would have to discount their already discounted price by the amount of

\$813.75 - \$677.92 = \$135.83.

The percentage this amount makes of \$813.75 is

`(\$135.83)/(\$813.75) * 100% = 16.69%` (rounded to two decimal places)

The Ever-Rest would need the second discount of 16.69% to match the Posture-Perfect's net price.