I'm curious- where is this question from? If 2) is not sufficient, it's only because of a technicality. We know that the "jewelry dealer initially offered a bracelet for sale at an asking price that would give a profit to the dealer of 40 percent". While the dealer may have 'intially offered' the bracelet at that price, that doesn't mean the dealer actually sold the bracelet at that price. He or she may have later changed the price. So, statement 2, which reads:

(2) The jewelry dealer sold the bracelet for $1,953.

is not sufficient, because we don't know if the jeweller changed the price of the bracelet after the initial offer.

In any case, the second statement is quite ambiguous, and many people would quite naturally think that $1953 is the price of the bracelet with the 40% markup. I suppose the information in Statement 1 does suggest that the price could change, however, which does help to clarify the situation. I've seen many real GMAT questions, and I can't recall any at the moment that test such a minor technicality. Long story short- don't worry about this question too much!