Question 167629
if the wholesale price is w, then the retail price is w + .5*w = 1.5*w.
let r = retail price
r = 1.5*w
-----
retail price is reduced by 20%:
r-.2*r = (1-.2)*r = .8*r
-----
if r = 1.5*w, then
.8*r = .8*1.5*w = 1.2*w
-----
the retail price was 50% above wholesale.
now the retail price is 20% above wholesale.
-----
putting this into numbers:
let wholesale price = $3000.
retail price is 50% above that.
retail price = $3000 + $1500 = $4500.
take 20% off $4500.
.2 * $4500 = $900
$4500 - $900 = $3600 equal retail price with 20% taken off.
$3600 discounted retail price is $600 over the wholesale price of $3000 which equals 20% of the wholesale price.
-----