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Bunuel
A baseball player signs a new contract that includes a guaranteed 10 percent increase in salary over his old contract, plus a performance bonus of up to $500. If he earns the maximum possible performance bonus, his new salary including bonus will be equivalent to a 12 percent increase over his old salary. Assuming he earns the full bonus, what will his total new salary be, in dollars?

(A) 24,500
(B) 25,000
(C) 27,500
(D) 28,000
(E) 28,500


Are You Up For the Challenge: 700 Level Questions

We see that the maximum bonus of $500 is equivalent to 12 - 2 = 2 percent of his old salary. Therefore, letting s = his old salary, we can create the equation:

0.02s = 500

s = 500/0.02 = 50,000/2 = 25,000

Since his new salary (including the maximum bonus) is 12 percent more than his old salary, his new salary is 25,000 x 1.12 = $28,000.

Answer: D
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Should we consider the 500 bonus as part of his salary? I understand that it gives the correct answer but I'm a bit confused about the way this question is framed.
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Why do we have to add the bonus if we are told to find out the new salary
We werent told to find out his new total income
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Bunuel
A baseball player signs a new contract that includes a guaranteed 10 percent increase in salary over his old contract, plus a performance bonus of up to $500. If he earns the maximum possible performance bonus, his new salary including bonus will be equivalent to a 12 percent increase over his old salary. Assuming he earns the full bonus, what will his total new salary be, in dollars?

(A) 24,500
(B) 25,000
(C) 27,500
(D) 28,000
(E) 28,500


Are You Up For the Challenge: 700 Level Questions
The two percent increase in his overall salary is because of the performance bonus of 500.
500 = 0.02 (old salary)
old salary = 25,000

New salary is 10 percent of this = 25,000 + 2,500 = 27,500
Adding bonus to this = 27,500 + 500 = 28,000
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purplex
Should we consider the 500 bonus as part of his salary? I understand that it gives the correct answer but I'm a bit confused about the way this question is framed.
I believe it's because of this part in the question - Assuming he earns the full bonus, what will his total new salary be, in dollars?
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