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Jeremy’s salary is how much greater than Samantha’s salary?

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Bunuel
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Jeremy’s salary is how much greater than Samantha’s salary? [#permalink] New post   03 Nov 2015, 13:37
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Jeremy’s salary is how much greater than Samantha’s salary?

(1) If Samantha received a 20-percent raise, and Jeremy received a 10-percent raise, the sum of their salaries would be $90,000.
(2) The sum of their salaries is $80,000.
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C
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Re: Jeremy’s salary is how much greater than Samantha’s salary? [#permalink] New post   03 Nov 2015, 19:43
Let Jeremy's salary=J
Samantha's salary=S

J-S=?

1.
1.2S +1.1 J = 90000
Not sufficient

2. J+S= 80000
Not sufficient

Combining, we get
equation 1*10 ,
12S+ 11J = 9,00,000
equation 2*11,
11J+11S=8,80,000

S=20,000
J=60,000
J-S=40,000

Sufficient
Answer C
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Re: Jeremy’s salary is how much greater than Samantha’s salary? [#permalink] New post   04 Nov 2015, 08:56
Bunuel wrote:
Jeremy’s salary is how much greater than Samantha’s salary?

(1) If Samantha received a 20-percent raise, and Jeremy received a 10-percent raise, the sum of their salaries would be $90,000.
(2) The sum of their salaries is $80,000.


A= Jerymy's salary
B = Samantha's salary

We need to know A - B =?

(1) If Samantha received a 20-percent raise, and Jeremy received a 10-percent raise, the sum of their salaries would be $90,000.
=> 1.2B - 1.1A = 90.000
=> we cannot know A-B
Insufficient
(2) The sum of their salaries is $80,000
=> A+B=80.000
=> Cannot know A - B
Insufficient
(1)+(2) => We know the value of A and of B => know A - b

Sufficient
Ans: C
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Re: Jeremy’s salary is how much greater than Samantha’s salary? [#permalink] New post   04 Nov 2015, 19:17
Bunuel wrote:
Jeremy’s salary is how much greater than Samantha’s salary?

(1) If Samantha received a 20-percent raise, and Jeremy received a 10-percent raise, the sum of their salaries would be $90,000.
(2) The sum of their salaries is $80,000.


Ans: C
Solution: in the question stem itself, no information is given
1) statement one gives is only one equation 1.2s+1.1j = 90,000
even after the manipulation, nothing can be derived in terms of greater or lesser than other. [Not Sufficient]

2) second statement gives us s+j = 80,000 [Not Sufficient]

TOgether 2 equations and two unknowns [Sufficient]
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Re: Jeremy’s salary is how much greater than Samantha’s salary? [#permalink] New post   06 Nov 2015, 20:15
Let J and S be the salary for Jeremy and Samantha respectively.
We need to find if J- S>0

1. 1.1J+1.2 S = 90000
Not Sufficient since no clue about values of J and S

2. J+S = 80000
Not Sufficient since no clue about values of J and S

1+2
By solving simultaneous equations we get the values of J and S
Sufficient.
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Re: Jeremy’s salary is how much greater than Samantha’s salary? [#permalink] New post   15 Aug 2019, 09:54
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Re: Jeremy’s salary is how much greater than Samantha’s salary? [#permalink]
15 Aug 2019, 09:54
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