It is currently 20 Jul 2017, 09:33

### 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: 1510
Janson's salary and Karen's salary were each p percent [#permalink]

### Show Tags

11 Dec 2007, 15:22
1
KUDOS
17
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

68% (01:59) correct 32% (01:02) wrong based on 543 sessions

### HideShow timer Statistics

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: 858

### Show Tags

11 Dec 2007, 16:11
4
KUDOS
3
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
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: 50

### 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: 858

### 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: 858 ### Show Tags 11 Dec 2007, 17:09 4 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.
SVP
Joined: 21 Jul 2006
Posts: 1510

### 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: 2473
Re: DS: Percentage Salary Increase [#permalink]

### Show Tags

12 Dec 2007, 21:32
7
KUDOS
1
This post was
BOOKMARKED
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%
Intern
Joined: 25 Sep 2010
Posts: 20
jasons salary and karen salary were each p percent greater [#permalink]

### Show Tags

19 Oct 2010, 01:02
1
This post was
BOOKMARKED
jasons salary and karen salary were each p percent greater in 1998 than in 1995, what is the value of p

1) in 1995 karens salary was $2000 greater than jasons 1) in 1998 karens salary was$2400 greater than jasons
Intern
Affiliations: SPE
Joined: 02 Sep 2010
Posts: 9
Location: Copenhagen
Schools: Columbia, MIT, Harvard, LBS

### Show Tags

19 Oct 2010, 03:13
C it is.

1) insuff. as info given: J + 2000 = K, and no time scale to relate to P.
2) insuff. as above

both - I assumed suff as I think we had enough data.
solve the two equations:
J + 2000 = k
J + (J*P) + 2400 = k + (k*P)

P = 22%

Manager
Joined: 15 Apr 2010
Posts: 173

### Show Tags

19 Oct 2010, 03:28
Both statements alone do not help, so we have to look at both statements together.

In 1995:
Ka = Ja + 2000

In 1998:
Kb = Jb + 2400

Since Kb = Ka(1 + p/100),

Ka(1 + p/100) = Ja(1 + p/100) + 2400

Substitute Ka

(Ja + 2000)(1 + p/100) = Ja(1 + p/100) + 2400

solving we get p = 20%

_________________

Give [highlight]KUDOS [/highlight] if you like my post.

Always do things which make you feel ALIVE!!!

Manager
Joined: 08 Sep 2010
Posts: 227
Location: India
WE 1: 6 Year, Telecom(GSM)

### Show Tags

19 Oct 2010, 03:36
1
KUDOS
satishreddy wrote:
jasons salary and karen salary were each p percent greater in 1998 than in 1995, what is the value of p

1) in 1995 karens salary was $2000 greater than jasons 1) in 1998 karens salary was$2400 greater than jasons

Combining these 2 statement we can get the value of p.
Because 2000 would also have increased with the same percentage p.
means, 2000 + 2000(p/100) = 2400
or p = (400* 100)/2000 = 20%.

Consider KUDOS if u find this helpful to u .Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 40281
Re: jason's salary & karen's salary [#permalink]

### Show Tags

02 Nov 2010, 07:25
3
KUDOS
Expert's post
9
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: 7504
Location: Pune, India
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

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1325

### Show Tags

03 May 2011, 10:12
2
KUDOS
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.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Senior Manager
Joined: 24 Mar 2011
Posts: 447
Location: Texas

### Show Tags

03 May 2011, 10:15
1
KUDOS
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

SVP
Joined: 16 Nov 2010
Posts: 1662
Location: United States (IN)
Concentration: Strategy, Technology
Re: jason's salary & karen's salary [#permalink]

### Show Tags

03 May 2011, 21:42
J = (1+p/100)j

K = (1+p/100)k

(1)

k = j + 2000

Not sufficient

(2)

K = J + 2440

Not Sufficient

(1) + (2)

J/K = j/k

1 - 2440/K = 1 - 2000/k

=> K/k = 2440/2000

Substituting this in above equation 2440/2000 = (1 + p)/100

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Manager
Joined: 26 Feb 2013
Posts: 53
Concentration: Strategy, General Management
GMAT 1: 660 Q50 V30
WE: Consulting (Telecommunications)
Re: Percents : Jason's salary and karen's salary were P % [#permalink]

### Show Tags

23 Apr 2013, 04:38
In 1995 Jason's salary J. In 1998 it would be (1+p/100)*J
In 1995 Karen's salary K. In 1998 it would be (1+p/100)*K
Stmt 1 :
K= J+2000 in 1995. We dont know about either of their salaries in 1998. Hence insufficient

Stmt 2:
(1+p/100)K=(1+p/100)J + 2440. We dont know the values of J and K . Hence insufficient.

combining. let (1+p/100)= a .
a*(j+2000) = a*J +2440.

and we can solve for a or (1+p/100) and we can find the value of P.

Hope its clear.
Manager
Joined: 09 Apr 2013
Posts: 209
Location: United States
Concentration: Finance, Economics
GMAT 1: 710 Q44 V44
GMAT 2: 740 Q48 V44
GPA: 3.1
WE: Sales (Mutual Funds and Brokerage)
Re: Janson's salary and Karen's salary were each p percent [#permalink]

### Show Tags

23 Apr 2013, 16:15
Look at it like it's a rate problem between two separate objects.
Manager
Joined: 07 May 2012
Posts: 75
Location: United States

### Show Tags

12 May 2013, 07:31
amit2k9 wrote:
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.

Slight correction -
it is not p(k-j) =2440 , but rather is (1+p/100) ( k-j)=2440.
_________________

Jyothi hosamani

Re: Janson salary   [#permalink] 12 May 2013, 07:31

Go to page    1   2    Next  [ 29 posts ]

Similar topics Replies Last post
Similar
Topics:
Each month, Jim receives a base salary plus a 10 percent commission on 4 26 Jun 2017, 10:43
Steve and Carl each received an increase in salary. 2 28 May 2017, 11:47
2 If Jack's and Kate's annual salaried in 1985 were each 10 percent high 3 29 Jan 2016, 23:52
John and David each received a salary increase 1 18 Sep 2013, 14:27
1 Beth and Jim each received a salary increase. If Jim's 6 13 Feb 2017, 18:14
Display posts from previous: Sort by