A retailer bought a machine at a wholesale price of $126 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?  Choose the correct choice from the following choices.
A) 81  B) 100  C) 120  D) 135  E) 168

Rationale: my solution : wholesale price = 126 retail price , be = x he provides 10 % discount on retail price = x - 10 x / 100 this retail price = 20 % profit on wholesale price x - 10 x / 100 = 126 + 1 / 5 ( 126 ) x = 168 ; answer : e
Answer: E