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

 It is currently 11 Dec 2018, 03:23

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
• The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

Over the last three years a scientist had an average (arithmetic mean)

Author Message
TAGS:

Hide Tags

Moderator
Joined: 21 Jun 2014
Posts: 1091
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
Over the last three years a scientist had an average (arithmetic mean)  [#permalink]

Show Tags

01 Dec 2018, 08:07
1
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:29) correct 31% (02:04) wrong based on 36 sessions

HideShow timer Statistics

Over the last three years a scientist had an average (arithmetic mean) yearly income of $45,000. The scientist earned $$1\frac{1}{2}$$ times as much the second year as the first year and $$2\frac{1}{2}$$ times as much the third year as the first year. What was the scientist's income the second year? (A)$9,000
(B) $13,500 (e)$27,000
(D) $40,500 (E)$45,000

Project PS Butler : Question #52

_________________

---------------------------------------------------------------
Target - 720-740
Project PS Butler - https://gmatclub.com/forum/project-ps-butler-practice-everyday-280904.html
http://gmatclub.com/forum/information-on-new-gmat-esr-report-beta-221111.html
http://gmatclub.com/forum/list-of-one-year-full-time-mba-programs-222103.html

Senior Manager
Joined: 18 Jul 2018
Posts: 484
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: Over the last three years a scientist had an average (arithmetic mean)  [#permalink]

Show Tags

01 Dec 2018, 08:25
1
Average of 3 years = 45,000$Total income in 3 years = 135,000$

Let the income in first year be x.
Now, x+3/2x+5/x = 135,000
x = 27,000$Income in second year = 1.5(27000) = 40,500$

_________________

When you want something, the whole universe conspires in helping you achieve it.

Manager
Joined: 26 Feb 2017
Posts: 89
Location: India
GPA: 3.99
Re: Over the last three years a scientist had an average (arithmetic mean)  [#permalink]

Show Tags

01 Dec 2018, 15:21
Let first year salary be x
then second year salary = 1.5x
Third year = 2.5 x
Average salary for three years is 45000 which means total salary for 3 years = 45000(3)
x+1.5x+2.5x=135000
5x=135000
x=27000

Second year salary is 1.5x= 1.5*27000
=\$40,500

VP
Joined: 09 Mar 2016
Posts: 1208
Over the last three years a scientist had an average (arithmetic mean)  [#permalink]

Show Tags

02 Dec 2018, 03:00
Average income for three months is 45000, then total income for three months is 45,000*3 = 135,000

"The scientist earned $$1\frac{1}{2}$$ times as much the second year as the first year"

So,

Let First year be $$x$$

Then second Year is $$\frac{3x}{2}$$

"and $$2\frac{1}{2}$$ times as much the third year as the first year"

So third Year is $$\frac{5x}{2}$$

$$\frac{X}{1} +\frac{3x}{2}+\frac{5x}{2} = 135,000$$

$$\frac{10x}{2}$$ = $$135,000$$

$$10x = 270,000$$

$$x = 27,000$$

Second year = $$\frac{3}{2} * 27000 = 40,500$$

Over the last three years a scientist had an average (arithmetic mean) &nbs [#permalink] 02 Dec 2018, 03:00
Display posts from previous: Sort by