lockers at Olympic High

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Wed Mar 09, 2011 4:45 am

The student lockers at Olympic High are numbered consecutively beginning with locker number 1. The plastic digits used to number the lockers cost two cents apiece. Thus, it costs two cents to label locker number 9 and four cents to label locker number 10. If it costs $137.94 to label all the lockers, how many lockers are there at the school?
A. 2001
B. 2010
C. 2100
D. 2726
E. 6897

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Source: Beat The GMAT — Problem Solving | Wed Mar 09, 2011 4:45 am

anshumishra: Legendary Member; Posts: 543; Joined: Tue Jun 15, 2010 7:01 pmFollowed by: 3 members; Thanked: 147 times

by anshumishra » Wed Mar 09, 2011 11:38 am

sanju09 wrote:The student lockers at Olympic High are numbered consecutively beginning with locker number 1. The plastic digits used to number the lockers cost two cents apiece. Thus, it costs two cents to label locker number 9 and four cents to label locker number 10. If it costs $137.94 to label all the lockers, how many lockers are there at the school?
A. 2001
B. 2010
C. 2100
D. 2726
E. 6897

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9 -> [1 - 9] -> 2cents
90 -> [10-99] - 4 cents
999 -> [100-999] - 6 cents
x -> having 4 digits - 8 cents

So, 9*2+90*4+999*6+x*8 = 13794
=> x = 1002
So, total no. of lockers = 9+90+999+1002 = 999+1002 = 2001 A

Thanks
Anshu

(Every mistake is a lesson learned )

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