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 Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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.

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.

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.

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%.

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.

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.

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

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.

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

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 _________________

Re: Percents : Jason's salary and karen's salary were P % [#permalink]

Show Tags

23 Apr 2013, 04:38

My answer is C 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.

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

Show Tags

13 May 2013, 13:03

In DS questions you can simply test whether you can find a percentage change from a percent change in differing values by picking values.

Say: A = 200 B = 100 Difference is 100.

Increase values by 10%:

A = 220 B = 110 Difference: 110. 110 is a 10% increase from the original difference, so this will also hold for the original values in the question stem.

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. _________________

I spent a good chunk of yesterday binge-watching installments of “ Handicapping Your MBA Odds ” that John Byrne from Poets and Quants and Sandy Kreisberg with HBS Guru...

I recently returned from attending the London Business School Admits Weekend held last week. Let me just say upfront - for those who are planning to apply for the...