There's three problems with (A) that eliminate it from contention.
First, the phrase after the comma is a modifying phrase (unlike (C) which has a complete clause in the second half). However, what "resulting in" modifies is unclear. It's supposed to modify the drop in relative cost, but the noun "drop" doesn't actually appear in the sentence. The entire "resulting in..." modifier seems like it is modifying the cost itself, or possibly even the year 1973.
Second, "resulting in the welfare system now costing" is an awkward construction. Though -ing verbs can be used grammatically correctly, the GMAT generally avoids them; back-to-back progressives are a sign that something is up.
Finally, the comparison that ends the underlined portion of the original is awkward. Note that the OP picked choice (C), which adds the phrase "it did", thus making the exact comparison more clear.
Of course, some of these rules are more clear cut than others; the last error, in particular, is one that doesn't really fit into a clear-cut grammatical definition and requires you to rely on your ear. However, that's fine--if we spot ANY of the errors in answer choice (A), we can eliminate it instantly without worrying about finding any other problems.