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Answer = C. $770

Salary without 16% increase \(= \frac{812*100}{116} = 700\)

Salary with 10% increase = 700+70 = 770
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Bunuel

Tough and Tricky questions: Word Problems.



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

Kudos for a correct solution.

OFFICIAL SOLUTION:

(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).
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(100/116)*812=700
With 10℅ increase - 700+70=770

Answer choice is C

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