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Company P had 15 percent more employees in December than it [#permalink]
08 Oct 2012, 00:49

Expert's post

00:00

A

B

C

D

E

Difficulty:

25% (low)

Question Stats:

66% (01:59) correct
33% (01:27) wrong based on 193 sessions

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

Re: Company P had 15 percent more employees in December than it [#permalink]
08 Oct 2012, 00:50

Expert's post

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?

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: 600

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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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: 600

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

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...
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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]
08 Oct 2012, 03:53

1

This post received KUDOS

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]
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
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Re: Company P had 15 percent more employees in December than it [#permalink]
09 Oct 2012, 21:05

1

This post received KUDOS

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)

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: 600

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Re: Company P had 15 percent more employees in December than it [#permalink]
11 Oct 2012, 02:39

1

This post received KUDOS

Expert's post

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
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Re: Company P had 15 percent more employees in December than it [#permalink]
11 Oct 2012, 12:22

Expert's post

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?

Re: Company P had 15 percent more employees in December than it [#permalink]
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]
16 Feb 2013, 11:57

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

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.
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Re: Company P had 15 percent more employees in December than it [#permalink]
17 Feb 2013, 20:26

MacFauz wrote:

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.

Re: Company P had 15 percent more employees in December than it [#permalink]
28 Oct 2013, 20:53

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.