Calculating simple list price

A wholesaler wants to establish a list price for an item so that his selling price gives a trade discount of 10% for the list price. If he makes a mark up of 20% of this selling price and if his cost is $160 what list price should be established. 

Selling price = list price - list price * 10%

Cost = 160

Also selling price = 160 + 160 * 20%
SP = 192

So we can solve the first eq:

Sp = Lp - Lp * 10/100

Sp = Lp ( 1 - 1/10)

192 = Lp ( 9/10)

Lp = 1920/9 = 213.333