Richard's furniture store bought a couch and marked the price up 24%. At a 18% off sale the couch sold for $2,237. How much did Richard pay for the couch originally? (two decimal places)
Let the original price of the Couch =C
Marked up by 24% =1.24C
18% off means that it sold for: 100% - 18% =82%
82% means: 82/100 =0.82. So you have:
0.82 x 1.24C =$2,237
1.0168C = $2,237 divide both sides by 1.0168
C = $2,237 / 1.0168
C = $2,200.04 what Richard paid for the Couch.
