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While Mel is on disability leave, his employer pays him a monthly disa

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Bunuel
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While Mel is on disability leave, his employer pays him a monthly disa [#permalink] New post   26 Jun 2018, 05:54
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While Mel is on disability leave, his employer pays him a monthly disability benefit equal to $1,200 plus 40% of the amount of his monthly salary in excess of $2,000. What is Mel's monthly salary?

(1) Mel's monthly disability benefit from his employer is $1,600
(2) Mel's monthly salary exceeds $2,500
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Re: While Mel is on disability leave, his employer pays him a monthly disa [#permalink] New post   26 Jun 2018, 06:25
Bunuel wrote:
While Mel is on disability leave, his employer pays him a monthly disability benefit equal to $1,200 plus 40% of the amount of his monthly salary in excess of $2,000. What is Mel's monthly salary?

(1) Mel's monthly disability benefit from his employer is $1,600
(2) Mel's monthly salary exceeds $2,500



Monthly Salary = S
Mel's monthly disability benefit = D and
amount of his monthly salary in excess = E

Given:
\(S = D + E\)
\(D = 1200 + 40%*E\)

If we can find E, we can find Total Salary S.

Option 1:
It is given that \(D = 1600\)
\(1600 = 1200 + 40%*E\)
\(E = 1000\)
Hence, \(Salary = 2000+1000 = 3000\). Option 1 is sufficient.

Possible Answers : A or D

Option 2:
Mel's monthly salary exceeds $2,500[/quote]

So , Monthly salary can be 3000, 4000, or any value. No definite answer.
Eliminate D.

Final Answer is A
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Re: While Mel is on disability leave, his employer pays him a monthly disa [#permalink] New post   09 Jan 2023, 02:41
Someone please explain the language of this problem. Too confusing.Not able to form the equation.
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Bunuel
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Re: While Mel is on disability leave, his employer pays him a monthly disa [#permalink] New post   09 Jan 2023, 06:42
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TBT wrote:
Someone please explain the language of this problem. Too confusing.Not able to form the equation.


While Mel is on disability leave, his employer pays him a monthly disability benefit equal to $1,200 plus 40% of the amount of his monthly salary in excess of $2,000. What is Mel's monthly salary?

His employer pays him a monthly disability benefit equal to $1,200 plus 40% of the amount of his monthly salary in excess of $2,000.

So Mel gets \(1,200 + 0.4(S - 2,000)\), where S is Mel's salary.

For example, if his monthly salary is $5,000, then Mel gets $1,200 plus 40% of $3,000 (40% of the amount of his monthly salary in excess of $2,000): \(1,200 + 0.4(S - 2,000)=1,200 + 0.4(5,000 - 2,000)=1,200 + 0.4*3,000=2,400\).

(1) Mel's monthly disability benefit from his employer is $1,600:

\(1,200 + 0.4(S - 2,000)=1,600\). We can get S. Sufficient,

(2) Mel's monthly salary exceeds $2,500. Not sufficient.

Answer: A.
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Re: While Mel is on disability leave, his employer pays him a monthly disa [#permalink] New post   09 Jan 2023, 07:14
Bunuel thanks got it now. The previous solution had confused me!
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Re: While Mel is on disability leave, his employer pays him a monthly disa [#permalink]
09 Jan 2023, 07:14
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