Bunuel
In May, Josep sold 40% of the computers that were sold by the store at which he works. In June, Josep sold 60% of the computers sold by the store. Did Josep sell more than twice as many computers in June as he did in May?
(1) The number of computers that the other employees sold was higher in June than in May.
(2) Josep sold more than half of the computers that were sold by the store during the months of May and June.
Josep sold 0.4m computers in May and 0.6j computers in June.
We need to answer the question:
Is 0.6j > 2(0.4m) ?
Is j/m > 0.8/0.6 ?
Is j/m > 4/3 ?
Statement One Alone:=> The number of computers that the other employees sold was higher in June than in May.
The other employees must have sold j – 0.6j = 0.4j computers in June and m – 0.4m = 0.6m computers in May.
Since the other employees sold more computers in June than in May, we have:
0.4j > 0.6m
j/m > 0.6/0.4
j/m > 3/2 > 4/3
Therefore, the answer to our rephrased question is a definite Yes.
Statement one is sufficient. Eliminate answer choices B, C, and E.
Statement Two Alone:=> Josep sold more than half of the computers that were sold by the store during the months of May and June.
0.4m + 0.6j > (1/2)(m + j)
0.8m + 1.2j > m + j
0.2j > 0.2m
j/m > 0.2/0.2
j/m > 1
Clearly, we can’t give a definite answer to the question “Is j/m > 4/3 ?”
Statement two is not sufficient.
Answer: A