In May, Josep sold 40% of the computers that were sold by the store at

Question

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.

Priyankajaismali · Answer

Please explain the question, 
How the answer is option A?

Solenja · Answer

can some expert please give us hint or a clue why option A is the right one?

MacroMX · Answer

In statement 1, Assume 100 computers were sold and 40 were sold by Joseph, remaining 60 were sold by other employees, 40% computers that were sold by other employees should be more than 60, it means 100% should be more than 150. If 150 were sold, 60% of 150 is 90 (in June), 40% of 100 is 40 (in May). more than twice, right?

hope it is helpful

divyadna · Answer

Posted from my mobile device

JeffTargetTestPrep · Answer

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

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In May, Josep sold 40% of the computers that were sold by the store at

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