BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

got the least amount?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

got the least amount?

by sanju09 » Mon Mar 26, 2012 12:55 am
$50000 are distributed among P, Q and R. Who got the least amount?
(1) P received one-fourth the amount that Q and R received together.
(2) R received what P and Q received together.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Mon Mar 26, 2012 1:17 am
sanju09 wrote:$50000 are distributed among P, Q and R. Who got the least amount?
(1) P received one-fourth the amount that Q and R received together.
(2) R received what P and Q received together.
Let us assume that P, Q, and R receive $x, $y, and $z respectively.
Then x + y + z = 50000

(1) P received one-fourth the amount that Q and R received together implies x = (y + z)/4; NOT sufficient.

(2) R received what P and Q received together implies z = x + y; NOT sufficient.

Combining (1) and (2), x = (y + x + y)/4 implies 4x = 2y + x or 3x = 2y
Also, x + y + z = 50000 and z = x + y implies 2x + 2y = 50000
We have 2 equations, 2 variables, which can be solved to find the least amount; SUFFICIENT.

The correct answer is C.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Post new topic Post Reply
• Page 1 of 1