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# 4% of population of country L has military experience and

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Senior Manager
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4% of population of country L has military experience and [#permalink]

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18 Feb 2008, 11:33
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4% of population of country L has military experience and supports a war against Country G. If 20% of those who support the war have no military experience what percentage of the country's population actually supports war against G?

* 5%
* 7.5%
* 10%
* 12.5%
* 15%

Folks pls help. I am lost with these kind of problems...consistently getting them wrong.

Are there any good threads out there providing generic approach to such problems...
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18 Feb 2008, 11:46
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=========================================
============support========do not support====
=========================================
Military---------4------------------____-------------
=========================================
Non Military----20x/100------------____-------------
=========================================
Total:-----------x----------------------------------
=========================================

x = 20x/100 + 4; 80x/100=4; x=5
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18 Feb 2008, 17:58
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probably best to do a tree diagram or a double matrix.

Four columns .... support and dont support, and military and non military

military and support = 4

non military and support = 0.2x, where x=total of all the supporters

therefore, 4+0.2x=x --> x=5
Senior Manager
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19 Feb 2008, 01:31
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A. 5%.

Assume X is the total % is supporters.
0.2 X = X - 4
4= 0.8 X => X = 5%
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19 Feb 2008, 12:01
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Military supporters, who make up 80% of the total supporters, make up 4% of the total population. There are 1/4th the number of non-military supporters as there are military supporters. Military supporters make up 4% of the total. A quarter of this is 1%. 1 + 4 = 5.
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Re: PS: Percentages.   [#permalink] 19 Feb 2008, 12:01
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