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 Post subject: GMAT PercentagePosted: Thu Dec 09, 2010 2:14 pm

Joined: Sun May 30, 2010 3:15 am
Posts: 424
If Bill's salary increased by 16 percent, he would earn \$812 per month. If instead, his salary were to increase by only 10 percent, how much money would he earn per month?

A. \$700
B. \$754
C. \$770
D. \$782
E. \$893

(C) If Billâ€™s salary increased by 16% he would earn \$812. Algebraically, this can be written as:
\$812 = 1.16S, where S is his current salary.
Then S = \$812/1.16 = \$700.

Now that we know his current salary is \$700, we can calculate what his salary would be if it were increased by 10%. We know that 10% of \$700 is \$70, so his salary would be:
\$700 + \$70 = \$770.

The correct answer is choice (C).
-------------

Hi, I am still not sure how you would work out 812/1.16 without a calculator.

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 Post subject: Re: GMAT PercentagePosted: Thu Dec 09, 2010 2:31 pm

Joined: Sun May 30, 2010 2:23 am
Posts: 498
Long division method is the fastest one in this case.
812/1.16 = 81200 / 116

Long division is a very common method. Take a look at prep guide (http://www.800score.com/gmat-guide.html) if you need to go over it.

Another way is to divide each answer choice by 1.1 and multiply the result by 1.16. If you get \$812, then it is the right one. If you see right away that 770 is divisible by 11, then you should start from this one and get the answer really fast.

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