The colour of an egg is not an indicator of its quality, period.
Whether an egg will be a quality one or not is decided by the poultry feed given to the chicken that lays the egg.
The colour of the egg shell does not matter. In fact, the nutrition of a brown egg compared to a white egg will be identical if they weigh the same.
In general, white-feathered chickens lay white eggs, and brown-feathered chickens lay brown eggs.
So the next time if someone is asking for extra bucks just because the colour of the egg is brown, you know exactly what to do.
Rather than choosing an egg based on its colour, choose the ones which are laid out by chickens who are well fed and raised organically. They’ll cost you more than the regular ones but then who expects quality at a low price tag.