The largest bonus that Felix can receive this year is equal to 20% of his annual salary. The smallest bonus that he can receive this year is 30% of his largest possible bonus. What is Felix's annual salary?
1. The smallest possible bonus that Felix can receive this year is $4800.00
2. The difference between the largest and smallest bonus that Felix can receive this year is $11,200.00.
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The largest bonus that Felix can receive this year is equal
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BTGmoderatorDC
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Jay@ManhattanReview
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Say annual salary is $x.BTGmoderatorDC wrote:The largest bonus that Felix can receive this year is equal to 20% of his annual salary. The smallest bonus that he can receive this year is 30% of his largest possible bonus. What is Felix's annual salary?
1. The smallest possible bonus that Felix can receive this year is $4800.00
2. The difference between the largest and smallest bonus that Felix can receive this year is $11,200.00.
Thus, the largest bonus = 20% of x = 0.2x
And the smallest bonus = 30% of 0.2x = 0.06x
Let's take each statement one by one.
1. The smallest possible bonus that Felix can receive this year is $4800.00.
=> 0.06x = $4800. We can get the unique value of x. Sufficient.
2. The difference between the largest and smallest bonus that Felix can receive this year is $11,200.00.
=> 0.2 x - 0.06x = $11,200. We can get the unique value of x. Sufficient.
The correct answer: D
Hope this helps!
-Jay
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