I do not know where to start.

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Jpsphat: Newbie | Next Rank: 10 Posts; Posts: 6; Joined: Wed Oct 14, 2009 12:37 pm

by Jpsphat » Thu Oct 15, 2009 10:13 am

2. A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the value?

A. $9.765.45
B. $10,876.90
C. $12,359.55
D. $14,345.48
E. $15,745.45

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Source: Beat The GMAT — Problem Solving | Thu Oct 15, 2009 10:13 am

fiercepoint: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Sat Jul 25, 2009 9:30 am; Thanked: 2 times

by fiercepoint » Thu Oct 15, 2009 10:32 am

You can set up a proportion and solve it by cross-multiplying:
8.9% = 1,100
100% = x

8.9x= 110,000
x=12,359

This particular problem can also be easily solved if you think of it this way: since 8.9% or approximately 10% of the total is 1,100, then total will be a little more than ten times 1,100 or just over 11,000.

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sadullaevd: Senior | Next Rank: 100 Posts; Posts: 81; Joined: Wed Apr 08, 2009 3:12 pm; Location: South Korea; Thanked: 4 times

by sadullaevd » Thu Oct 15, 2009 7:58 pm

If you round off 8.9% to 9% and then calculate

9%=1100

100% will be around 12000,

the c answer fits it.(it takes less than 1 min)

Cheers

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mjsobo: GMAT Instructor; Posts: 27; Joined: Sun Sep 20, 2009 7:54 pm; Thanked: 3 times

by mjsobo » Sun Oct 18, 2009 3:13 pm

agree that rounding to 9% is a good idea. another quick tip could be to know that 100%/9% approx equals 11, so you can just multiply 1100 by 11 to find a close approximation of 12100.
So C is answer

Martin
GMAT Instructor with Grockit

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