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euro: Master | Next Rank: 500 Posts; Posts: 120; Joined: Thu Sep 02, 2010 8:56 am; Location: India; Thanked: 7 times; GMAT Score:730

by euro » Mon Nov 01, 2010 7:52 am

Please explain approach to this problem.

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Source: Beat The GMAT — Problem Solving | Mon Nov 01, 2010 7:52 am

kmittal82: Master | Next Rank: 500 Posts; Posts: 324; Joined: Mon Jul 05, 2010 6:44 amFollowed by: 3 members; Location: London; Thanked: 70 times

by kmittal82 » Mon Nov 01, 2010 8:11 am

Let the minimum population be x

Thus, no town can have a population greater than 1.1x

to minimize x, we need to maximize the population of all other towns, i.e. 10 towns will hv population 1.1x, and 1 will have population x

x + 10 * 1.1 x = 132,000

12 x = 132,000

x = 11,000

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