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

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Manager
Joined: 18 Jul 2017
Posts: 50
The population of the village is 5500. If the number of males increase  [#permalink]

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03 Oct 2018, 17:33
2
00:00

Difficulty:

35% (medium)

Question Stats:

74% (02:50) correct 26% (03:16) wrong based on 20 sessions

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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
Joined: 02 Aug 2009
Posts: 7334
The population of the village is 5500. If the number of males increase  [#permalink]

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03 Oct 2018, 18:15
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
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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Intern
Joined: 02 Sep 2015
Posts: 42
The population of the village is 5500. If the number of males increase  [#permalink]

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03 Oct 2018, 20:44
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
Joined: 02 Aug 2009
Posts: 7334
Re: The population of the village is 5500. If the number of males increase  [#permalink]

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03 Oct 2018, 21:13
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
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Re: The population of the village is 5500. If the number of males increase   [#permalink] 03 Oct 2018, 21:13
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