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The largest bonus that Felix can receive this year is equal to 20% of

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The largest bonus that Felix can receive this year is equal to 20% of  [#permalink]

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New post 07 Nov 2015, 15:58
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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.
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Re: The largest bonus that Felix can receive this year is equal to 20% of  [#permalink]

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New post 07 Nov 2015, 21:31
Mascarfi 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.


the main stem of the Q gives us:-
largest bonus=.2 * annual salary..
smallest bonus=.3 *(0.2*annual salary)..
so to know annual salary, any of the values largest, smallest bonus, or add, difference, ratio etc of the two bonuses is sufficient..
1) it gives the smallest bonus.. suff
2) it gives the difference of two bonuses.. suff
D
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The largest bonus that Felix can receive this year is equal to 20% of  [#permalink]

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New post 27 Jan 2017, 09:11
Annual Salary = AS
Largest Bonus : 20/100 x AS
Smallest Bonus : 30/100 x 20/100 x AS
1, 4800 smallest bonus
Sufficient
2, L - S Bonus = 11,200
Sufficient
D
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Re: The largest bonus that Felix can receive this year is equal to 20% of  [#permalink]

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New post 08 Jul 2017, 15:08
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Mascarfi 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.


Let the salary be \(x\)

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

\(4800 = 0.3 * 0.2 * x\)

We can determine the salary using the above equation as only unknown variable is \(x\)

Hence, (1) ===== is SUFFICIENT

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

\(11,200 = 0.14 * x\)

We can determine the salary using the above equation as only unknown variable is \(x\)

Hence, (2) ===== is SUFFICIENT

Hence, Answer is D
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Re: The largest bonus that Felix can receive this year is equal to 20% of  [#permalink]

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New post 09 Aug 2018, 06:21
ydmuley wrote:
Mascarfi 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.


Let the salary be \(x\)

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

\(4800 = 0.3 * 0.2 * x\)

We can determine the salary using the above equation as only unknown variable is \(x\)

Hence, (1) ===== is SUFFICIENT

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

\(11,200 = 0.14 * x\)

We can determine the salary using the above equation as only unknown variable is \(x\)

Hence, (2) ===== is SUFFICIENT

Hence, Answer is D


Sorry but where is .14 coming from
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Re: The largest bonus that Felix can receive this year is equal to 20% of   [#permalink] 09 Aug 2018, 06:21
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