GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 04 Aug 2020, 02:39

### GMAT Club Daily Prep

#### 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

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

# Company P had 15 percent more employees in December than it

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 65785
Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

08 Oct 2012, 00:49
2
45
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:20) correct 23% (01:37) wrong based on 2539 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

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 65785
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

08 Oct 2012, 00:50
6
5
SOLUTION

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

Given: January*1.15=December --> January*1.15=460 --> January=460/1.15=400.

_________________
VP
Joined: 02 Jul 2012
Posts: 1091
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

16 Feb 2013, 11:57
9
2
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..

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.
##### General Discussion
VP
Joined: 02 Jul 2012
Posts: 1091
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

08 Oct 2012, 01:31
3
2
No. of employees in December = 1.15 * No. of employees in January
No. of employees in January = No. of employees in december / 1.15 = 460/1.15
= 400

Senior Manager
Joined: 24 Aug 2009
Posts: 427
Schools: Harvard, Columbia, Stern, Booth, LSB,
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

08 Oct 2012, 01:47
1
Number of employees in Jan = 460 /1.15 = 400
Director
Joined: 22 Mar 2011
Posts: 576
WE: Science (Education)
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

Updated on: 08 Oct 2012, 06:11
1
2
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 $$20\cdot20=400.$$

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.

Originally posted by EvaJager on 08 Oct 2012, 03:39.
Last edited by EvaJager on 08 Oct 2012, 06:11, edited 2 times in total.
Senior Manager
Joined: 31 Oct 2011
Posts: 475
Schools: Johnson '16 (M)
GMAT 1: 690 Q45 V40
WE: Asset Management (Mutual Funds and Brokerage)
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

08 Oct 2012, 03:53
2
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
_________________
My Applicant Blog: http://hamm0.wordpress.com/
Senior Manager
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 385
Location: United States (NY)
GPA: 3.82
WE: Account Management (Retail Banking)
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

08 Oct 2012, 05:49
1
1
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

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 552
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

09 Oct 2012, 21:05
3
1
1
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)
Board of Directors
Joined: 01 Sep 2010
Posts: 3495
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

11 Oct 2012, 02:39
1
1
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
_________________
Intern
Joined: 28 Aug 2012
Posts: 45
Concentration: Operations, Marketing
GMAT 1: 510 Q36 V25
GPA: 4
WE: Information Technology (Other)
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..
Intern
Joined: 11 Aug 2013
Posts: 28
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

28 Oct 2013, 20:53
2
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..

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.

Jan = 10% + +5% = December
391 39.1 (Stop Here)
400 40 20 460
410 41 (Stop here)
423 42.3 (Stop here)
445 44.5(Stop here)

Both Numbers must be divisible in order to arrive at 460

or Try to Solve this way:

J=15%+D
D=460

Solve for J = .15+460
Multiply by 100

46000/115 = 400
Manager
Status: Please do not forget to give kudos if you like my post
Joined: 19 Sep 2008
Posts: 82
Location: United States (CA)
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

24 Jan 2014, 09:08
1

400*15/100=60 === 60+400=460. Ans B.
Intern
Joined: 19 Jan 2014
Posts: 23
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

Where am I going wrong?
Math Expert
Joined: 02 Sep 2009
Posts: 65785
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

25 May 2014, 13:17
2
bytatia wrote:
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

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.
_________________
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2800
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

03 Jun 2016, 05:33
2
1
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

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 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.
_________________

# Jeffrey Miller | Head of GMAT Instruction | Jeff@TargetTestPrep.com

250 REVIEWS

5-STAR RATED ONLINE GMAT QUANT SELF STUDY COURSE

NOW WITH GMAT VERBAL (BETA)

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Intern
Joined: 05 Apr 2017
Posts: 4
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

16 Aug 2017, 09:09
15% more in December = 115% (taking employees in January = 100%)

SO,
115% = 460
100% = (?) -> 460 x 100 / 115
= 400 (b)
Manager
Joined: 07 Jun 2017
Posts: 158
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

14 Sep 2017, 23:16
1
115/100 = 460
then no of employee = 460*100/115
divide by 5
460*20/23
20*20 = 400
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4987
GMAT 1: 770 Q49 V46
Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

Updated on: 13 Mar 2019, 13:50
Top Contributor
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

Let J = # of employees in Jan
So, 1.15J = # of employees in Dec

This means that 1.15J = 460
So, J = 460/1.15 = 400

ASIDE: Many people will conclude that, if the December population is 15% greater than the January population, then it must be the case that the January population is 15% less than the December population. If you have this common misconception then you would have (incorrectly) answered A

To better understand the issue, examine the following example:
A = 100
B = 150
Notice that B is 50% greater than A. HOWEVER, A is not 50% less than B. In fact, A is 33 1/3% less than B.

For more on this misconception, read the following article: https://www.gmatprepnow.com/articles/co ... 93-part-ii

Cheers,
Brent
_________________
If you enjoy my solutions, you'll love my GMAT prep course.

Originally posted by BrentGMATPrepNow on 06 Sep 2018, 13:53.
Last edited by BrentGMATPrepNow on 13 Mar 2019, 13:50, edited 1 time in total.
Intern
Joined: 20 Aug 2018
Posts: 4
Re: Company P had 15 percent more employees in December than it  [#permalink]

### Show Tags

20 Sep 2018, 06:39
[quote="thevenus"]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
What happened to the x+?
As per your statement it should be x+1.15x

Posted from my mobile device
Re: Company P had 15 percent more employees in December than it   [#permalink] 20 Sep 2018, 06:39

Go to page    1   2    Next  [ 30 posts ]