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# Janson's salary and Karen's salary were each p percent

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Janson's salary and Karen's salary were each p percent [#permalink]

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11 Dec 2007, 15:22
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Janson's salary and Karen's salary were each p percent greater in 1998 than in 1995. What is the value of p?

(1) In 1995 Karen's salary was $2,000 greater than Jason's. (2) In 1998 Karen's salary was$2,440 greater than Jason's.
[Reveal] Spoiler: OA
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Re: DS: Percentage Salary Increase [#permalink]

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12 Dec 2007, 21:32
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tarek99 wrote:
Janson's salary and Karen's salary were each p percent greater in 1998 than in 1995. What is the value of p?

(1) In 1995 Karen's salary was $2,000 greater than Jason's. (2) In 1998 Karen's salary was$2,440 greater than Jason's.

1995: Janson's salary = j
Karen's salary = k

1998: Janson's salary = j (1+p)
Karen's salary = k (1+p)

1: in 1995, k = j + 2000
2: in 1998, k(1+p) = j (1+p) + 2440

togather: k(1+p) = j (1+p) + 2440
(j + 2000) (1+p) = j (1+p) + 2440
2000 + 2000p = 2440
p = (2440 - 2000)/2000
p = 22%
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Re: jason's salary & karen's salary [#permalink]

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02 Nov 2010, 07:25
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anilnandyala wrote:
jason's salary & karen's salary were each P percent greater in 1998 then in 1995 what is the value of
P?

a in 1995 karen's salary was $2000 greater then jason's b in 1998 karen's salary was$2400 greater then jason's

Given: $$j_2=j_1(1+\frac{p}{100})$$ and $$k_2=k_1(1+\frac{p}{100})$$. Qurestion: $$p=?$$

(1) $$k_1-j_1=2,000$$. Not sufficient to calculate $$p$$.
(2) $$k_2-j_2=2440$$. Not sufficient to calculate $$p$$.

(1)+(2) $$k_2-j_2=2440=k_1(1+\frac{p}{100})-j_1(1+\frac{p}{100})$$ --> $$2440=k_1(1+\frac{p}{100})-j_1(1+\frac{p}{100})=(1+\frac{p}{100})(k_1-j_1)=(1+\frac{p}{100})2,000$$ --> $$2440=(1+\frac{p}{100})2,000$$. Sufficient to to calculate $$p$$.

Or another way: difference between their salaries increased by 2440-2000=440, which is 440/2000*100=22%, but difference increases proportionally with the salaries, so increase in salary is also 22%.

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11 Dec 2007, 16:11
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Answer is C. Right off the bat without doing any math.

Taken separately we don't know anything.

Taken together...

We know that their salaries grew further apart by $440. They started off in 1995 as$2,000 apart. That means the $440 increase must have come from the$2,000 difference.

440/2000 = P

(using a calculator to prove it)

440/2000 = 22% (or 2,440/2000 = 1.22)

10,000(1.22) = 12,200
12,000(1.22) = 14, 640
14,640-12,200 = 2,440

50,000(1.22) = 61,000
52,000(1.22) = 63,440
63,440-61,000 = 2,440

No need to do the math on the real test. Just realize that you know how much their salaries started and that if there is any change in the difference it must've come from the original difference in salary.

C it is.
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11 Dec 2007, 16:56
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Not at all.

All we have to do is realize that a $2,000 difference grew to a$2,440 when multiplied by P. This makes for a 22% increase and the information holds true for any two numbers $2,000 apart. 500,000*1.22 = 610,000 502,000*1.22 = 612,440 2,000*1.22 = 2440 4,000*1.22 = 4880 answer is definitely C. Director Joined: 12 Jul 2007 Posts: 862 Followers: 15 Kudos [?]: 265 [2] , given: 0 [#permalink] ### Show Tags 11 Dec 2007, 17:09 2 This post received KUDOS 1 This post was BOOKMARKED tnguyen707 wrote: eschn3am wrote: Not at all. All we have to do is realize that a$2,000 difference grew to a $2,440 when multiplied by P. This makes for a 22% increase and the information holds true for any two numbers$2,000 apart.

500,000*1.22 = 610,000
502,000*1.22 = 612,440

2,000*1.22 = 2440
4,000*1.22 = 4880

I tested this method, and it works. I still can't visualize it. Oh well, I guess whatever works!

Try thinking of it like this.

We know that in 1995 Karen's salary was $2,000 greater than Jason's We know that in 1998 Karen's salary was$2,440 greater than Jason's

Between 1995 and 1998 each of their salaries increased by the same percentage (P)

If Jason makes $10,000 and Karen makes$12,000 then we know that Jason's 10K and Karen's first 10K each increased by the same amount. They would be dead even in 1998 if Karen didn't make $2,000 more. This means that Karen's$2,000 had to increase by $440 (to get to$2,440) all on it's own. So what percentage increase do you need for $2,000 to become$2,440? this is your answer. and that's why you can choose C without doing any math.

I'm not the best with explanations, but I hope this helps somewhat.
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03 May 2011, 10:12
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let salaries at 95 be K and J each.
salaries in 98 will be p*k and p*j each. Considering p as percentage value.

in 95, k-j = 2000

in 98, p(k-j) = 2440

thus p's value can be found using these equations. Hence C.
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03 May 2011, 10:15
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udaymathapati wrote:
Attachment:
M-Q29.JPG

Note that both of their salary increase by same p percent. In 1995 let jason's and karen's salary be j and k resp. And in 1998, let that be j1 and k1.
j1 = pj
k1 = pk

St 1 --> in 1995, k = j+2000
Not sufficient doesn't provide any info about 1998 year.

St 2--> in 1998, k1 = j1+2440
Not sufficient doesn't provide any info about 1995 year.

Both together, solve the equations -
k1 = pk
j1+2440 = p(j+2000)
j1+2440 = j1+p2000 --> p = 12.2

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Re: DS: Percentage Salary Increase [#permalink]

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11 Dec 2007, 16:19
tarek99 wrote:
Janson's salary and Karen's salary were each p percent greater in 1998 than in 1995. What is the value of p?

(1) In 1995 Karen's salary was $2,000 greater than Jason's. (2) In 1998 Karen's salary was$2,440 greater than Jason's.

A insufficient
B Insufficient

Combining
From A,
In 1995

Janson's salary = J
Karen's salary = J+2000

In 1998

Janson's salary = J*0.p + J
Karen's salary = ((J+2000) * 0.p) + (J +2000)

Also, from B
((J+2000) * 0.p) + (J +2000) = (J*0.p + J) +2440
2000*0.p=440

Ans C

Whats the OA
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11 Dec 2007, 16:39
I get E.

A, Alone: K = J + 2000. Insuff
B alone: K (1 +P/100) = J(1 + P/100) + 2440. Insuff.

Together, we have three unknowns and two equations, we can't solve the equations. We must know at least one of either Janson's or Karen's salary in 1995 in order to solve for P.
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12 Dec 2007, 02:24
OA is C. but the way i saw this, the difference of 440 didn't make any sense to me. I thought C is possible ONLY if the 2 people have the exact same salary from the beginning. but we don't even know that. a 5% increase on a salary of $10 will not yield the same as a salary of$100. that's why i picked E. both could yield different dollar amounts, but both have the same percentage increase. but after looking at the explanation, i guess if this works, then so be it. i never realised you could get to such an answer by only having the gaps between the 2 actually amounts. cool
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Re: jason's salary & karen's salary [#permalink]

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02 Nov 2010, 17:59
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Since question asks for the comparison between 1995 and 1998 salaries, a quick look at the statements will tell you that neither alone is sufficient. Now the question remains whether together they are sufficient. Let's analyze.

In 1995:
J salary - J;
K salary - J + 2000

In 1998: (Their salaries are now p% greater)
J salary- J + p% of J;
K salary- (J + 2000) + p% of (J + 2000)= J + p% of J + 2000 + p% of 2000

Compare the salaries in red. According to second statement, their difference is 2440.
So we can say p% of 2000 = 440. On solving, we get p = 22
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(2) In 1998 Karen's salary was $2,440 greater than Jason's. 1995 1998 J J + J(p/100) K K + K(p/100) p = ? AD/BCE statement 1:-K-J=2000 .....Not sufficient so AD out statement 2:- (K-J) + p/100(K-J) = 2440 B alone not sufficient as we don't have K-J Combine 1 and 2 we have value of k-j so suffcient answer is C _________________ "Kudos" will help me a lot!!!!!!Please donate some!!! Completed Official Quant Review OG - Quant In Progress Official Verbal Review OG 13th ed MGMAT IR AWA Structure Yet to do 100 700+ SC questions MR Verbal MR Quant Verbal is a ghost. Cant find head and tail of it. GMAT Club Legend Joined: 09 Sep 2013 Posts: 11029 Followers: 509 Kudos [?]: 133 [0], given: 0 Re: Janson's salary and Karen's salary were each p percent [#permalink] ### Show Tags 25 May 2014, 10:57 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Intern Joined: 19 Jan 2014 Posts: 31 Followers: 0 Kudos [?]: 14 [0], given: 51 Re: Janson's salary and Karen's salary were each p percent [#permalink] ### Show Tags 03 Jul 2014, 19:12 tarek99 wrote: Janson's salary and Karen's salary were each p percent greater in 1998 than in 1995. What is the value of p? (1) In 1995 Karen's salary was$2,000 greater than Jason's.
(2) In 1998 Karen's salary was $2,440 greater than Jason's. Here's how I did it. (1) 95 increased by p 98 Jason S Karen (S+2000) Not sufficient (2) 95 increased by p 98 Jason Y Karen Y+ 2 400 Not Suffictient. So combining: (S+2000)xP/100-2440=SP/100 2000P/100=2440 20P=2440 P=2440/20 P=122 22% increase Re: Janson's salary and Karen's salary were each p percent [#permalink] 03 Jul 2014, 19:12 Go to page 1 2 Next [ 22 posts ] Similar topics Replies Last post Similar Topics: 2 If Jack's and Kate's annual salaried in 1985 were each 10 percent high 3 20 Dec 2015, 19:29 4 Richard's salary is greater than$25,000. Is Amy's salary greater than 5 17 Dec 2014, 07:42
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# Janson's salary and Karen's salary were each p percent

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