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Company P

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alex.gellatly Master | Next Rank: 500 Posts Default Avatar
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Company P

Post Tue Jul 17, 2012 9:52 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January?

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    Anurag@Gurome GMAT Instructor
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    Post Tue Jul 17, 2012 10:07 pm
    alex.gellatly wrote:
    Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January?
    Say, number of employees in January = J
    Hence, number of employees in December = (J + 15% of J) = (1.15)*J

    Therefore, (1.15)*J = 460 ---> J = 460/(1.15) = 400

    The correct answer is B.

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    Post Wed Jul 18, 2012 1:58 am
    alex.gellatly wrote:
    Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January?

    391
    400
    410
    423
    445
    ALWAYS LOOK AT THE ANSWER CHOICES.
    15% of the correct answer must yield an integer value.
    Only answer choice B is viable.

    The correct answer is B.

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    Post Tue Jun 30, 2015 11:42 am
    alex.gellatly wrote:
    Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January?

    391
    400
    410
    423
    445
    Solution:

    There are two methods we can use to solve a problem like this. The first is to create a simple word translation. We are given that Company P had 15 percent more employees in December than it had in January and that it had 460 employees in December.

    So we can say:

    D = number of employees in December

    J = number of employees in January

    J x 1.15 = D

    J x 1.15 = 460

    J = 460/1.15

    J = 46,000/115 = 400

    Alternately, we could have looked at our answer choices and used divisibility and a little logic. We know that the answer choices represent the number of employees in January.

    Thus we can say the following:

    (Answer Choice)(1.15) = 460

    Answer Choice x 115/100 = 460

    Right away we can see that answer choice B stands out because it is divisible by 100. If we do the arithmetic, we see that:

    400 x 115/100 = 400/100 x 115 = 4 x 115 = 460.

    Answer: B

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