It is currently 19 Mar 2018, 05:38

### 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

# A certain college's enrollment at the beginning of 1992

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 06 Jan 2015
Posts: 339
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
A certain college's enrollment at the beginning of 1992 [#permalink]

### Show Tags

26 Jul 2016, 07:32
1
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

86% (01:00) correct 14% (01:08) wrong based on 110 sessions

### HideShow timer Statistics

A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?

A) 17.5%
B) 24%
C) 30%
D) 35%
E) 38%
[Reveal] Spoiler: OA

_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Retired Moderator
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 359
Re: A certain college's enrollment at the beginning of 1992 [#permalink]

### Show Tags

27 Jul 2016, 00:17
1
KUDOS
1
This post was
BOOKMARKED
NandishSS wrote:
A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?

A) 17.5%
B) 24%
C) 30%
D) 35%
E) 38%

Suppose enrollment in 1991 was 100

Then enrollment in 1992 will be 120

And enrollment in 1993 will be 120*1.15=138

Increase in 1993 from 1991 = 138-100= 38

Current Student
Joined: 18 Oct 2014
Posts: 901
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
Re: A certain college's enrollment at the beginning of 1992 [#permalink]

### Show Tags

27 Jul 2016, 14:00
NandishSS wrote:
A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?

A) 17.5%
B) 24%
C) 30%
D) 35%
E) 38%

Let's suppose enrollment for 1991= x

Enrollment in 1992= 1.2x (20% greater that previous year)

Enrollment in 1993= 1.15*1.2x (15% greater than previous year)= 1.38x = 38% greater than it was in 1991

_________________

I welcome critical analysis of my post!! That will help me reach 700+

Manager
Joined: 29 May 2016
Posts: 129
Re: A certain college's enrollment at the beginning of 1992 [#permalink]

### Show Tags

27 Jul 2016, 23:57
value in 91 is 100
value in 92 becomes 120
values in 93 would be 115*120 = 13800/100= 138 , which is 38 % greater. E
VP
Joined: 22 May 2016
Posts: 1420
A certain college's enrollment at the beginning of 1992 [#permalink]

### Show Tags

08 Sep 2017, 15:49
NandishSS wrote:
A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?

A) 17.5%
B) 24%
C) 30%
D) 35%
E) 38%

Shortcut Formula

When there are only two successive percent changes, A and B, and the numbers are reasonable, there is a simple formula* to calculate the total percent change, in this case, percent increase:

A + B + $$\frac{A*B}{100}$$ = total percent change

A here is 20
B here is 15

20 + 15 + $$\frac{20*15}{100}$$ =

20 + 15 + $$\frac{300}{100}$$ =

20 + 15 + 3 = 38 percent increase

*"Successive Percentage Changes," in Percentages, Interest, and More, from GMAT Club, here: https://gmatclub.com/forum/percentages-interest-and-more-208098.html#p1596558
_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Intern
Joined: 20 Sep 2016
Posts: 26
Re: A certain college's enrollment at the beginning of 1992 [#permalink]

### Show Tags

07 Oct 2017, 23:16
use the concept of percent of percent:
(1.2*1.15*x)/ x

solve it to find an increase of 38 %
Re: A certain college's enrollment at the beginning of 1992   [#permalink] 07 Oct 2017, 23:16
Display posts from previous: Sort by