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The largest bonus that Felix can receive this year is equal

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The largest bonus that Felix can receive this year is equal

by BTGmoderatorDC » Thu Mar 28, 2019 4:39 am

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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.

OA D

Source: Veritas Prep
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Source: — Data Sufficiency |
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by Jay@ManhattanReview » Sun Mar 31, 2019 9:55 pm

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D

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Global Stats

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.

OA D

Source: Veritas Prep
Say Felix's annual salary is $I.

Thus,

The largest bonus = 20% of I = I/5;
The Smallest bonus = 30% of I/5 = 3I/50

We have to get the value of I.

Let's take each statement one by one.

1. The smallest possible bonus that Felix can receive this year is $4800.00.

=> 3I/50 = 4,800 => I = $80,000

2. The difference between the largest and smallest bonus that Felix can receive this year is $11,200.00.

=> I/5 - 3I/50 = 11,200

7I/50 = 11,200

I = $80,000.

Sufficient.

The correct answer: D

Hope this helps!

-Jay
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