Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 30 Apr 2016, 12:38

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

SVP
Joined: 21 Jul 2006
Posts: 1538
Followers: 8

Kudos [?]: 522 [0], given: 1

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

### Show Tags

11 Dec 2007, 15:22
12
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

69% (01:00) correct 31% (00:52) wrong based on 299 sessions

### HideShow timer Statictics

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
Director
Joined: 12 Jul 2007
Posts: 862
Followers: 13

Kudos [?]: 244 [2] , given: 0

### Show Tags

11 Dec 2007, 16:11
2
KUDOS
1
This post was
BOOKMARKED
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.
Intern
Joined: 25 Nov 2007
Posts: 38
Followers: 0

Kudos [?]: 8 [0], given: 0

Re: DS: Percentage Salary Increase [#permalink]

### Show Tags

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
Manager
Joined: 04 Nov 2007
Posts: 52
Followers: 1

Kudos [?]: 7 [0], given: 0

### Show Tags

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.
Director
Joined: 12 Jul 2007
Posts: 862
Followers: 13

Kudos [?]: 244 [2] , given: 0

### Show Tags

11 Dec 2007, 16:56
2
KUDOS
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: 13 Kudos [?]: 244 [1] , given: 0 [#permalink] ### Show Tags 11 Dec 2007, 17:09 1 This post received KUDOS 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.
SVP
Joined: 21 Jul 2006
Posts: 1538
Followers: 8

Kudos [?]: 522 [0], given: 1

### Show Tags

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
SVP
Joined: 29 Aug 2007
Posts: 2492
Followers: 64

Kudos [?]: 649 [4] , given: 19

Re: DS: Percentage Salary Increase [#permalink]

### Show Tags

12 Dec 2007, 21:32
4
KUDOS
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%
Math Expert
Joined: 02 Sep 2009
Posts: 32549
Followers: 5631

Kudos [?]: 68304 [2] , given: 9797

Re: jason's salary & karen's salary [#permalink]

### Show Tags

02 Nov 2010, 07:25
2
KUDOS
Expert's post
6
This post was
BOOKMARKED
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%.

_________________
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 6473
Location: Pune, India
Followers: 1756

Kudos [?]: 10465 [0], given: 205

Re: jason's salary & karen's salary [#permalink]

### Show Tags

02 Nov 2010, 17:59
Expert's post
1
This post was
BOOKMARKED
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
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

(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: 9240 Followers: 454 Kudos [?]: 114 [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 [?]: 13 [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 [ 21 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
John and David each received a salary increase 1 18 Sep 2013, 14:11
1 jasons salary and karen salary were each p percent greater 3 19 Oct 2010, 01:02
1 Beth and Jim each received a salary increase. If Jim's 4 07 Jun 2009, 19:43
Display posts from previous: Sort by