GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Nov 2018, 09:04

# Join Chat Room for Live Updates

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### GMATbuster's Weekly GMAT Quant Quiz # 9

November 17, 2018

November 17, 2018

09:00 AM PST

11:00 AM PST

Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

# If the total income of a state increases by 50% and the population of

Author Message
TAGS:

### Hide Tags

Manager
Joined: 29 May 2008
Posts: 109
If the total income of a state increases by 50% and the population of  [#permalink]

### Show Tags

07 Sep 2009, 05:50
1
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:33) correct 20% (01:57) wrong based on 126 sessions

### HideShow timer Statistics

If the total income of a state increases by 50% and the population of the state increases by 20%, What is the percent change in per capita income for the state?

A) A net increase of 40%
B) A net increase of 30%
C) A net increase of 25%
D) A net increase of 20%
E) A net decrease of 20%
Manager
Joined: 25 Aug 2009
Posts: 162
Re: If the total income of a state increases by 50% and the population of  [#permalink]

### Show Tags

07 Sep 2009, 09:23
Let I is the total income and P is the totla population..

=> per/capita C (income per person)= $$\frac{I}{P}$$

$$Now, C' = \frac{3I}{2} * \frac{5}{6P}$$

=> C' = $$\frac{5I}{4P}$$

change or increase = $$\frac{(C' - C}{C)} * 100$$
= 25 % increase

ans is C
Director
Joined: 01 Apr 2008
Posts: 784
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: If the total income of a state increases by 50% and the population of  [#permalink]

### Show Tags

07 Sep 2009, 09:27
Per capita income = income per person
Let P be the total poplulation and I be the total income.
PCI = I/P

After the increase PCI = 1.5I/1.4P = (5/4) * (I/P) = 1.25*(I/P) so PCI has increased by 25%.
C
Manager
Joined: 29 May 2008
Posts: 109
Re: If the total income of a state increases by 50% and the population of  [#permalink]

### Show Tags

08 Sep 2009, 08:54
2
What those OA mean?

I did it this way

suposse you have, lets say $200 income total and 10 people So you have$20 per capita income

then you now that 50% is added to the $200 so you get$300
for ppl we get an increase of 25% meaning 12 people

and now just divide it 300/12 = 25
25 is 125% of 20

so 25% increase!

is this approach correct?
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12857
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If the total income of a state increases by 50% and the population of  [#permalink]

### Show Tags

19 Feb 2015, 13:15
3
Hi All,

These types of percent-based questions are often perfect for TESTing VALUES (and the number 100 tends to be a great number to TEST).

We're told that the total income of a state increases by 50% and the total population increases by 20%

To start:
Total Income = $100 Total Population = 100 people$100/100 = $1 per person After the increase: New Total Income =$150
New Total Population = $120$150/120 = $5/4 per person The question asks for the percent increase in per capita income, which means that we need to use the Percentage Change Formula: Percent Change = (New - Old)/Old New = 5/4 Old = 1 (5/4 - 1)/1 = (1/4)/1 = 1/4 = 25% increase Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Non-Human User
Joined: 09 Sep 2013
Posts: 8773
Re: If the total income of a state increases by 50% and the population of  [#permalink]

### Show Tags

06 Dec 2017, 10:23
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.
_________________
Re: If the total income of a state increases by 50% and the population of &nbs [#permalink] 06 Dec 2017, 10:23
Display posts from previous: Sort by