consumer price index

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gmat009: Master | Next Rank: 500 Posts; Posts: 458; Joined: Sun Aug 31, 2008 10:44 amFollowed by: 1 member; Thanked: 3 times

by gmat009 » Fri Oct 10, 2008 8:41 am

If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average (arithmetic mean) annual increase in the index over this period?
A)(x + 100)/18
B)x/18
C)(100 − x)/18
D)(x − 100)/18
E)100x/18

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Source: Beat The GMAT — Problem Solving | Fri Oct 10, 2008 8:41 am

krazy800: Master | Next Rank: 500 Posts; Posts: 136; Joined: Sun Sep 28, 2008 8:20 pm; Location: fssf; Thanked: 17 times

by krazy800 » Fri Oct 10, 2008 9:02 am

Its D.. ( X-100)/18

Aiming High

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vivek.kapoor83: Legendary Member; Posts: 833; Joined: Mon Aug 04, 2008 1:56 am; Thanked: 13 times

by vivek.kapoor83 » Fri Oct 10, 2008 9:03 am

should be D. OA Pls/

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gmat009: Master | Next Rank: 500 Posts; Posts: 458; Joined: Sun Aug 31, 2008 10:44 amFollowed by: 1 member; Thanked: 3 times

by gmat009 » Mon Nov 24, 2008 11:27 am

Can someone plz. explain me how it is D

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dmateer25: Community Manager; Posts: 1049; Joined: Sun Apr 06, 2008 5:15 pmFollowed by: 27 members; Location: Pittsburgh, PA; Thanked: 113 times; GMAT Score:710

by dmateer25 » Mon Nov 24, 2008 11:35 am

It rose from 100 to x. This means x - 100 = Total increase from 1967 to 1985

Now divide x-100 by 18 to get the average annual increase.

Just as an example lets say x=190

190 - 100 = Total increase
90 = total increase

Average annual increase = 90/18 = 5

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gmat009: Master | Next Rank: 500 Posts; Posts: 458; Joined: Sun Aug 31, 2008 10:44 amFollowed by: 1 member; Thanked: 3 times

by gmat009 » Mon Nov 24, 2008 11:54 am

dmateer25 wrote:It rose from 100 to x. This means x - 100 = Total increase from 1967 to 1985

Now divide x-100 by 18 to get the average annual increase.

Just as an example lets say x=190

190 - 100 = Total increase
90 = total increase

Average annual increase = 90/18 = 5

Thanks.........

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