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## Company P

This topic has 3 expert replies and 0 member replies
alex.gellatly Master | Next Rank: 500 Posts
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#### Company P

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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### GMAT/MBA Expert

Scott@TargetTestPrep GMAT Instructor
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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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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 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.

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Scott Woodbury-Stewart Founder and CEO

### GMAT/MBA Expert

GMATGuruNY GMAT Instructor
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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.

_________________
Mitch Hunt
GMAT Private Tutor
GMATGuruNY@gmail.com
If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon.
Available for tutoring in NYC and long-distance.

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### GMAT/MBA Expert

Anurag@Gurome GMAT Instructor
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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

_________________
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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