In a commercial survey involving \(1000\) persons on brand preference, \(120\) were found to prefer brand x only, \(200\) prefer brand y only, \(150\) prefer brand z only, \(370\) prefer either brand x or y but not z, \(450\) prefer brand y or z but not x and \(370\) prefer either brand z or x but not y. How many persons have no brand preference, satisfied with any of the three brands?
A280
B230
C180
D130