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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
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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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
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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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GMAT/MBA Expert

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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For more information, please email me at GMATGuruNY@gmail.com.

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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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