Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

75% (01:03) correct 25% (01:12) wrong based on 1256 sessions

HideShow timer Statistics

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?

(A) 391 (B) 400 (C) 410 (D) 423 (E) 445

Practice Questions Question: 57 Page: 159 Difficulty: 550

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?

Re: Company P had 15 percent more employees in December than it [#permalink]

Show Tags

08 Oct 2012, 03:39

1

This post received KUDOS

1

This post was BOOKMARKED

Bunuel 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?

(A) 391 (B) 400 (C) 410 (D) 423 (E) 445

Since \(15%=\frac{15}{100}=\frac{3}{20}\), it means that \(460\) represents \(23/20\) of the number of employees in January. Then, \(1/20\) of that number is \(460/23 = 20.\) Therefore, the number of employees in January was \(20\cdot20=400.\)

Answer B.

PS Bunuel, just another small typo...see above (slution). And I am mad at myself, why I didn't see it before...
_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Last edited by EvaJager on 08 Oct 2012, 06:11, edited 2 times in total.

Re: Company P had 15 percent more employees in December than it [#permalink]

Show Tags

08 Oct 2012, 03:53

2

This post received KUDOS

1

This post was BOOKMARKED

If J = # of employees in January, and D = # of employees in December.. D = (J + 15% of J) = (1.15)*J Plug in known values (D = 460) Therefore, (1.15)*J = 460 Solve for J J = 460/(1.15) = 400 B _________________

Re: Company P had 15 percent more employees in December than it [#permalink]

Show Tags

08 Oct 2012, 05:49

1

This post received KUDOS

Let the no. of employees in Jan=x Therefore the no.of employees in Dec will be =Total employees in Jan PLUS increased no of employees =>{x + (15% of x)} => 1.15x

It is given that; Total no.of employees in Dec = 460 so, 1.15x=460 solve for x , we will get x= 400

Answer: B
_________________

" Make more efforts " Press Kudos if you liked my post

Re: Company P had 15 percent more employees in December than it [#permalink]

Show Tags

09 Oct 2012, 21:05

2

This post received KUDOS

1

This post was BOOKMARKED

First, we need to determine which one to use for base January or December, that is whether, J= 1.15D Or 0.85J = D

The question says . employees in December are 15% more than in January. Therefore we are actually taking J as base and hence get number of employees in December as D=115% of J => 1.15J Or 1.15J =460 => J =400 Ans (B)
_________________

Re: Company P had 15 percent more employees in December than it [#permalink]

Show Tags

11 Oct 2012, 02:39

1

This post received KUDOS

please. experts can give an opinion about the level (real) of this question ?? of course I know that is not important the level but to solve it 300 or 700 no matter what

back to question.

J --------------- D

X 1.15

1.15 x = 460 X = 400 B in 30 seconds ( thanks to sleepless nights)

or 1.15 is what % of 460 ----> translate 1.15 = x/100 * 460 -----> = 4 only B fits the bill

C should not possible following this process of reasoning
_________________

Re: Company P had 15 percent more employees in December than it [#permalink]

Show Tags

16 Feb 2013, 11:19

Okay, so now i ve fallen into this really Stupid trap here . I got A) 391 . 15% of 460 is 69 . So i did 460-69 = 391 . I know i am wrong now and this is a dumb mistake . But what am i missing here ?? Kindly Help.. Thanks in Advance

Re: Company P had 15 percent more employees in December than it [#permalink]

Show Tags

16 Feb 2013, 11:57

4

This post received KUDOS

1

This post was BOOKMARKED

thinktank wrote:

Okay, so now i ve fallen into this really Stupid trap here . I got A) 391 . 15% of 460 is 69 . So i did 460-69 = 391 . I know i am wrong now and this is a dumb mistake . But what am i missing here ?? Kindly Help.. Thanks in Advance

If 100 is increased by 50%, we get 150. However if 150 is decreased by 50% we do not get 100 and instead we get 75. The mistake you are doing is thinking that a 15% decrease from 460 is the same as a 15% increase from the right answer choice. From the above illustration, we can see that equating as such is incorrect.
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Re: Company P had 15 percent more employees in December than it [#permalink]

Show Tags

28 Oct 2013, 20:53

2

This post received KUDOS

thinktank wrote:

Okay, so now i ve fallen into this really Stupid trap here . I got A) 391 . 15% of 460 is 69 . So i did 460-69 = 391 . I know i am wrong now and this is a dumb mistake . But what am i missing here ?? Kindly Help.. Thanks in Advance

I solved the problem by estimation, I won't try to explain that, just for the fact that 410 could be a trap. So I'll try to explain on BackSolving the problem.

Re: Company P had 15 percent more employees in December than it [#permalink]

Show Tags

25 May 2014, 13:05

Bunuel 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?

(A) 391 (B) 400 (C) 410 (D) 423 (E) 445

Practice Questions Question: 57 Page: 159 Difficulty: 550

I'm having a problem. I started solving this problem when December is x and January is 0.85x. IF x=460 shouldn't January be 460x0.85=391

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?

(A) 391 (B) 400 (C) 410 (D) 423 (E) 445

I'm having a problem. I started solving this problem when December is x and January is 0.85x. IF x=460 shouldn't January be 460x0.85=391

Where am I going wrong?

x is 15% more than y means, that \(x=1.15y\), or that \(y=\frac{x}{1.15}\approx{0.87x}\).

\(y=0.85x\) means that y is 15% less than x, which is not the same as x is 15% more than y.
_________________

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?

(A) 391 (B) 400 (C) 410 (D) 423 (E) 445

There are actually two great methods to solving a problem such like this. The first is 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.

Thus B is the correct answer.
_________________

Jeffery Miller Head of GMAT Instruction

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions