rsarashi wrote:Ellen can purchase a certain computer at a local store at the price of p dollars and pay a 6% sales tax. Alternatively, Ellen can purchase the same computer from a catalog for a total of q dollars, including all taxes and shipping costs. Will it cost more for Ellen to purchase the computer from the local store than from the catalog?
1) q-p<50
2) q=1150
Statement 1: p > q-50
Case 1: q=1150, implying that p > 1100
Store cost = (more than 1100) + (6% of more than 1100) = (more than 1100) + (more than 66) = more than 1166.
In this case, the store cost is greater than the catalog cost.
Case 2: q=150, implying that p > 100
Store cost = (more than 100) + (6% of more than 100) = (more than 100) + (more than 6) = more than 106.
In this case, the store cost can be lower than the catalog cost.
INSUFFICIENT.
Statement 2:
No information about p.
INSUFFICIENT.
Statements combined:
Only Case 1 satisfies both statements.
In Case 1, the store cost is greater than the catalog cost, so the answer to the question stem is YES.
SUFFICIENT.
The correct answer is
C.
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