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 Post subject: GMAT Percentage
PostPosted: Mon Apr 29, 2013 9:05 am 
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Joined: Tue Apr 13, 2010 8:48 am
Posts: 478
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 Bill’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 Percentage
PostPosted: Mon Apr 29, 2013 9:08 am 
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Joined: Fri Apr 09, 2010 2:11 pm
Posts: 454
Long division method is the fastest one in this case.
812/1.16 = 81200 / 116

Image

Long division is a very common method.

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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