It is currently 25 Jun 2017, 07:11

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

From Leland's gross pay of p dollars last week, t percent

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 11 Feb 2007
Posts: 351
From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 22 Feb 2007, 20:50
2
This post received
KUDOS
24
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (01:49) correct 33% (00:54) wrong based on 813 sessions

HideShow timer Statistics

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 = 7,552
[Reveal] Spoiler: OA
Expert Post
8 KUDOS received
Math Expert
User avatar
D
Joined: 02 Sep 2009
Posts: 39672
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 20 Oct 2013, 05:49
8
This post received
KUDOS
Expert's post
16
This post was
BOOKMARKED
bulletpoint wrote:
lwwlwwlww 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 = 7,552


the amount after two deductions is p- (t%)p-s
we get p-s from (1) but we don't know p(t%) , so it is insufficient
we get pt from (2) ,it means p(t%)=7552/100 . But we don't know p-s, it is insufficient.

combining the two data, we can get p- (t%)p-s. Therefore, the ans is C


So what would the actual answer be if we had to calculate it? And if the question says t%, isnt the equation just p - pt - s, and not p -pt% - s?

From what I gather, if we plug in the numbers we get: 244- 7552= -7308?? Does that mean Leland is losing money?


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?

We need to find the value of \(p-\frac{pt}{100}-s\).

(1) p - s = 244 --> we need to find the value of \(244-\frac{pt}{100}\). Not sufficient.

(2) pt = 7,552 --> we need to find the value of \(p-\frac{7,552}{100}-s\). Not sufficient.

(1)+(2) \(p-\frac{pt}{100}-s=244-75.52=168.48\). Sufficient.

Answer: C.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 12 Mar 2006
Posts: 365
Schools: Kellogg School of Management
 [#permalink]

Show Tags

New post 26 Feb 2007, 19:41
1
This post received
KUDOS
ricokevin wrote:
That's what I thought. E.

But the correct answer is C...

(maybe the correct answer is wrong...)


ooops... just realized that it is t percent not t dollars so what we need to find is p - pt/100 - s

which can be found if we use info from both the statements so ans is C!
1 KUDOS received
Intern
Intern
avatar
Joined: 16 Jun 2013
Posts: 18
GMAT 1: 540 Q34 V30
GMAT 2: 700 Q43 V42
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 28 Nov 2013, 00:49
1
This post received
KUDOS
@bunuel: there is a small error. in your explanation for statement 1 you confused 244 with 224. same for the combination of the statements ;)
1 KUDOS received
Intern
Intern
avatar
Joined: 03 Feb 2014
Posts: 10
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 13 Mar 2014, 08:46
1
This post received
KUDOS
Bunuel wrote:
bulletpoint wrote:
lwwlwwlww 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 = 7,552


the amount after two deductions is p- (t%)p-s
we get p-s from (1) but we don't know p(t%) , so it is insufficient
we get pt from (2) ,it means p(t%)=7552/100 . But we don't know p-s, it is insufficient.

combining the two data, we can get p- (t%)p-s. Therefore, the ans is C


So what would the actual answer be if we had to calculate it? And if the question says t%, isnt the equation just p - pt - s, and not p -pt% - s?

From what I gather, if we plug in the numbers we get: 244- 7552= -7308?? Does that mean Leland is losing money?


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?

We need to find the value of \(p-\frac{pt}{100}-s\).

(1) p - s = 244 --> we need to find the value of \(244-\frac{pt}{100}\). Not sufficient.

(2) pt = 7,552 --> we need to find the value of \(p-\frac{7,552}{100}-s\). Not sufficient.

(1)+(2) \(p-\frac{pt}{100}-s=244-75.52=148.48\). Sufficient.

Answer: C.

Hope it's clear.


I am happy I'm not the only one making careless mistakes. 244-75.52=168.52 :)
Senior Manager
Senior Manager
avatar
Joined: 12 Mar 2006
Posts: 365
Schools: Kellogg School of Management
Re: DS - Leland's gross pay (tricky...) [#permalink]

Show Tags

New post 22 Feb 2007, 21:14
ricokevin 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 = 7,552

I'm confused as to whether finding out exactly one figure for the remained amount is what the question is asking or if it's asking for a condition that, when certain values for p, s, and t are plugged in, gives the figure...

please explain.

thanks!


My interpretation of the question is that we need to find the value of p-t-s in dollars
so my answer would be

stat1 alone: insufficient since t is unknown
stat2 alone: insufficient since s is unknown nor is the value of p or t or p-t

stat2 & stat1: insufficient since massaging these eqs to get p-t-s does'nt seem to be possible

I would pick E
Senior Manager
Senior Manager
avatar
Joined: 11 Feb 2007
Posts: 351
 [#permalink]

Show Tags

New post 25 Feb 2007, 23:19
That's what I thought. E.

But the correct answer is C...

(maybe the correct answer is wrong...)
Intern
Intern
avatar
Joined: 07 Aug 2013
Posts: 1
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 01 Sep 2013, 21:11
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 = 7,552


the amount after two deductions is p- (t%)p-s
we get p-s from (1) but we don't know p(t%) , so it is insufficient
we get pt from (2) ,it means p(t%)=7552/100 . But we don't know p-s, it is insufficient.

combining the two data, we can get p- (t%)p-s. Therefore, the ans is C
Intern
Intern
avatar
Joined: 02 Jul 2013
Posts: 19
Schools: LBS MIF '15
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 20 Oct 2013, 05:35
lwwlwwlww 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 = 7,552


the amount after two deductions is p- (t%)p-s
we get p-s from (1) but we don't know p(t%) , so it is insufficient
we get pt from (2) ,it means p(t%)=7552/100 . But we don't know p-s, it is insufficient.

combining the two data, we can get p- (t%)p-s. Therefore, the ans is C


So what would the actual answer be if we had to calculate it? And if the question says t%, isnt the equation just p - pt - s, and not p -pt% - s?

From what I gather, if we plug in the numbers we get: 244- 7552= -7308?? Does that mean Leland is losing money?
Expert Post
Math Expert
User avatar
D
Joined: 02 Sep 2009
Posts: 39672
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 28 Nov 2013, 06:43
Expert's post
1
This post was
BOOKMARKED
Expert Post
Math Expert
User avatar
D
Joined: 02 Sep 2009
Posts: 39672
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 13 Mar 2014, 08:59
Senior Manager
Senior Manager
User avatar
Joined: 10 Mar 2013
Posts: 277
GMAT 1: 620 Q44 V31
GMAT 2: 690 Q47 V37
GMAT 3: 610 Q47 V28
GMAT 4: 700 Q50 V34
GMAT 5: 700 Q49 V36
GMAT 6: 690 Q48 V35
GMAT 7: 750 Q49 V42
GMAT 8: 730 Q50 V39
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 24 Jul 2014, 18:18
Need p - pt/100 - s. Only C can give the required elements.
Current Student
avatar
Joined: 08 Feb 2014
Posts: 206
Location: United States
Concentration: Finance
GMAT 1: 650 Q39 V41
WE: Analyst (Commercial Banking)
Premium Member
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 02 Dec 2014, 15:32
after Bunuel's explanation, I think thats a wrap on this one. Very concise.
Intern
Intern
avatar
Joined: 01 Jun 2015
Posts: 10
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 15 Jul 2015, 18:28
The question is using both percent and fixed value in the stem.

P - tP - S = ?

P is fixed weekly income
t is percent to be multiplied by P to know the amount for tax
S is fixed savings amount
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 15967
Premium Member
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 22 Sep 2016, 14:52
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Intern
Intern
avatar
B
Joined: 06 Nov 2016
Posts: 4
GMAT 1: 620 Q43 V32
GMAT 2: 700 Q46 V40
From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 14 Nov 2016, 18:29
Bunuel wrote:
bulletpoint wrote:
lwwlwwlww 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 = 7,552


the amount after two deductions is p- (t%)p-s
we get p-s from (1) but we don't know p(t%) , so it is insufficient
we get pt from (2) ,it means p(t%)=7552/100 . But we don't know p-s, it is insufficient.

combining the two data, we can get p- (t%)p-s. Therefore, the ans is C


So what would the actual answer be if we had to calculate it? And if the question says t%, isnt the equation just p - pt - s, and not p -pt% - s?

From what I gather, if we plug in the numbers we get: 244- 7552= -7308?? Does that mean Leland is losing money?


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?

We need to find the value of \(p-\frac{pt}{100}-s\).

(1) p - s = 244 --> we need to find the value of \(244-\frac{pt}{100}\). Not sufficient.

(2) pt = 7,552 --> we need to find the value of \(p-\frac{7,552}{100}-s\). Not sufficient.

(1)+(2) \(p-\frac{pt}{100}-s=244-75.52=168.48\). Sufficient.

Answer: C.

Hope it's clear.



I don't understand...How is pt/100 considered a dollar amount?

I get 244 - 7552????...

[Edit]
I understand now... pt= 7552 is just the numerator... I assumed pt=7552 is the same pt/100=7552
Manager
Manager
User avatar
S
Joined: 23 Jan 2016
Posts: 184
GMAT ToolKit User Premium Member CAT Tests
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 19 Nov 2016, 08:17
Bunuel, this question can't be done in this way ? -- (p*(100-t)/100)-s? this will give (100p-pt)/100-s -- this does not seem solvable; please help if you can solve this using the statements. thank you!
Intern
Intern
avatar
Joined: 28 Dec 2016
Posts: 1
CAT Tests
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 16 Jan 2017, 14:32
I am confused on how we would know from the stem that t percent is does not already assume that it would be divided by 100?

If it were 4%, I would already make the assumption that is equal to 4/100 or .04.

It feels misleading of the prompt to force the test taker to make the assumption that has not already been completed by multiplying pt.

I wound up in the same boat as the poster who got to a negative number when combining both statements. At that point I decided not to sit and scratch my head and went for E in order to move on.
Expert Post
Math Expert
User avatar
D
Joined: 02 Sep 2009
Posts: 39672
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 17 Jan 2017, 01:18
ghancock wrote:
I am confused on how we would know from the stem that t percent is does not already assume that it would be divided by 100?

If it were 4%, I would already make the assumption that is equal to 4/100 or .04.

It feels misleading of the prompt to force the test taker to make the assumption that has not already been completed by multiplying pt.

I wound up in the same boat as the poster who got to a negative number when combining both statements. At that point I decided not to sit and scratch my head and went for E in order to move on.


4% = 4/100, similarly t% = t/100.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior Manager
Senior Manager
avatar
B
Joined: 05 Jan 2017
Posts: 436
Location: India
Premium Member
Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

Show Tags

New post 23 Feb 2017, 06:12
Prompt analysis
Gross pay will be p(1-0.01*t) - s = p-s - 0.01pt

Superset
The value will be any positive real number

Translation
To find the gross pay, we need
1#Exact value of p, t, s
2# the value of p-s and pt
3# any other relation so that we can come up to the exact figure

Statement analysis
St 1: p-s = 244. We don't know the value of pt. INSUFFICIENT
St 2: pt = 7.552. We don't the value of p-s. INSUFFICIENT
St 1 & St 2: we know p-s and pt. SUFFICIENT

Option C
Re: From Leland's gross pay of p dollars last week, t percent   [#permalink] 23 Feb 2017, 06:12
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic In each of the last five years, Company K donated p percent of its Bunuel 5 06 Dec 2016, 08:29
Experts publish their posts in the topic Company P’s profit this year was what percent of its profit last year? Bunuel 4 12 Nov 2016, 20:50
Experts publish their posts in the topic In year X, 12.2 percent of the Gross Domestic Product (GDP) came ... Gmatdecoder 1 23 Jun 2015, 11:21
44 Experts publish their posts in the topic If a loan of P dollars, at an interest rate of r percent... NeverSurrender 13 08 May 2017, 03:29
from OG Leo can buy a certain computer for p1 dollars in thanatoz 3 27 Apr 2010, 10:54
Display posts from previous: Sort by

From Leland's gross pay of p dollars last week, t percent

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.