The problem is as follows:
A seller has made a discount of a $15\%$ from the list price of a tv. Then he makes another discount of 20 usd and still gets a profit of 12 usd. If the cost of that tv was 206 usd. What was the list price of the tv?
The alternatives given in my book are as follows:
$\begin{array}{ll} 1.&\textrm{280 usd}\\ 2.&\textrm{238 usd}\\ 3.&\textrm{216 usd}\\ 4.&\textrm{286 usd}\\ \end{array}$
What I tried to do was as follows: Assuming that the initial price of the tv is $x$.
$x-\frac{15}{100}x-20-206=12$
Solving this yields.
$x=280$
Which I assume is the initial cost of that tv. But is this the right answer?. It would help a lot if an answer could indicate the adequate interpretation of this word problem.