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

Redeem

DS: Arithmetic salary problem

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 78
Joined: Sun Nov 30, 2014 7:21 pm
Thanked: 1 times
Followed by:2 members

DS: Arithmetic salary problem

by me_1234 » Wed Dec 17, 2014 2:43 pm
From Leland's gross pay of p dollars last week, t percent was deducted for taxes and then s dollars was deducted for savings. What amount of Leland's gross pay last week remained after these two deductions?

1/ p - s = 244

2/ pt = 7552


Answer: C both statements together are sufficient


I understand why C works here, but can someone show me how to solve this algebraically if this was a Problem Solving question?
Top
Source: — Data Sufficiency |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Wed Dec 17, 2014 2:57 pm
melanie.espeland wrote:From Leland's gross pay of p dollars last week, t percent was deducted for taxes and then s dollars was deducted for savings. What amount of Leland's gross pay last week remained after these two deductions?

1/ p - s = 244

2/ pt = 7552
Pay after the two deductions = p - (t/100)p - s.

Rephrase the expression above in terms of the two statements (p-s and pt):
p - (t/100)p - s = p - s - pt/100.

Question stem, rephrased:
What is the value of p - s - pt/100?

Statement 1: p-s = 244
No information about pt/100.
INSUFFICIENT.

Statement 2: pt = 7552
No information about p-s.
INSUFFICIENT.

Statements combined:
p - s - pt/100 = 244 - 7552/100.
SUFFICIENT.

The correct answer is C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Senior | Next Rank: 100 Posts
Posts: 78
Joined: Sun Nov 30, 2014 7:21 pm
Thanked: 1 times
Followed by:2 members

by me_1234 » Wed Dec 17, 2014 4:41 pm
Thanks
Top
Post new topic Post Reply
• Page 1 of 1