GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Oct 2018, 23:02

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

The population of the village is 5500. If the number of males increase

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
S
Joined: 18 Jul 2017
Posts: 45
The population of the village is 5500. If the number of males increase  [#permalink]

Show Tags

New post 03 Oct 2018, 18:33
2
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (02:32) correct 31% (02:10) wrong based on 13 sessions

HideShow timer Statistics

The population of the village is 5500. If the number of males increase by 11% and the number of females increase by 20%, then the population becomes 6330. Find the population of females in the town.

A. 2500
B. 3000
C. 2000
D. 3500
E. 1800
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6980
The population of the village is 5500. If the number of males increase  [#permalink]

Show Tags

New post 03 Oct 2018, 19:15
1
wishalsp333 wrote:
The population of the village is 5500. If the number of males increase by 11% and the number of females increase by 20%, then the population becomes 6330. Find the population of females in the town.

A. 2500
B. 3000
C. 2000
D. 3500
E. 1800


I. Algebraic ...
Let the number be m and f
So m+f=5500.......(I)
1.11m+1.2f=6330..(ii)
Multiply (I) by 1.2 and subtract from (ii)
1.2m+1.2f-(1.11m+1.2f)=6600-6330
0.09m=270......m=3000
f=5500-3000=2500

II... Weighted average
If all were male increase would be (1.11-1)*5500=605
If all were females, increase would be (1.2-1)*5500=1100
Combined the increase was 6330-5500=830
So 605...830...1100
Ratio of female to total = (830-605)/(1100-605)=225/495=5/11
So females =5500*5/11=2500

A
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
B
Joined: 02 Sep 2015
Posts: 42
GMAT ToolKit User CAT Tests
The population of the village is 5500. If the number of males increase  [#permalink]

Show Tags

New post 03 Oct 2018, 21:44
chetan2u

how did you get 1.11m+1.2f=6300..(ii) ?

question says 6330 not 6300.

In weighted average method you have used it correctly

I am not sure how did you manage to get answers correctly in both methods
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6980
Re: The population of the village is 5500. If the number of males increase  [#permalink]

Show Tags

New post 03 Oct 2018, 22:13
magbot wrote:
chetan2u

how did you get 1.11m+1.2f=6300..(ii) ?

question says 6330 not 6300.

In weighted average method you have used it correctly

I am not sure how did you manage to get answers correctly in both methods


Thanks ..
Edited the typo..
I had mistakenly written 1.11m as 1.1m and 6330 as 6300
And both typos gave the correct t ANSWER..
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
Re: The population of the village is 5500. If the number of males increase &nbs [#permalink] 03 Oct 2018, 22:13
Display posts from previous: Sort by

The population of the village is 5500. If the number of males increase

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.