Author 
Message 
TAGS:

Hide Tags

Senior Manager
Joined: 11 Feb 2007
Posts: 346

From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
22 Feb 2007, 20:50
Question Stats:
69% (00:44) correct 31% (00:42) wrong based on 1038 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
Official Answer and Stats are available only to registered users. Register/ Login.



Senior Manager
Joined: 12 Mar 2006
Posts: 358
Schools: Kellogg School of Management

Re: DS  Leland's gross pay (tricky...) [#permalink]
Show Tags
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 pts 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 pt
stat2 & stat1: insufficient since massaging these eqs to get pts does'nt seem to be possible
I would pick E



Senior Manager
Joined: 11 Feb 2007
Posts: 346

That's what I thought. E.
But the correct answer is C...
(maybe the correct answer is wrong...)



Senior Manager
Joined: 12 Mar 2006
Posts: 358
Schools: Kellogg School of Management

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!



Intern
Joined: 07 Aug 2013
Posts: 1

Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
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%)ps we get ps 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 ps, it is insufficient.
combining the two data, we can get p (t%)ps. Therefore, the ans is C



Intern
Joined: 02 Jul 2013
Posts: 19

Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
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%)ps we get ps 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 ps, it is insufficient.
combining the two data, we can get p (t%)ps. 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?



Math Expert
Joined: 02 Sep 2009
Posts: 46207

Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
20 Oct 2013, 05:49
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%)ps we get ps 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 ps, it is insufficient.
combining the two data, we can get p (t%)ps. 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) \(p\frac{pt}{100}s=24475.52=168.48\). Sufficient. Answer: C. Hope it's clear.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  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? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 03 Feb 2014
Posts: 9

Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
13 Mar 2014, 08:46
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%)ps we get ps 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 ps, it is insufficient.
combining the two data, we can get p (t%)ps. 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) \(p\frac{pt}{100}s=24475.52=148.48\). Sufficient. Answer: C. Hope it's clear. I am happy I'm not the only one making careless mistakes. 24475.52=168.52



Math Expert
Joined: 02 Sep 2009
Posts: 46207

Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
13 Mar 2014, 08:59



Manager
Joined: 10 Mar 2013
Posts: 241
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
24 Jul 2014, 18:18
Need p  pt/100  s. Only C can give the required elements.



Manager
Joined: 08 Feb 2014
Posts: 205
Location: United States
Concentration: Finance
WE: Analyst (Commercial Banking)

Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
02 Dec 2014, 15:32
after Bunuel's explanation, I think thats a wrap on this one. Very concise.



Intern
Joined: 01 Jun 2015
Posts: 10

Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
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



Intern
Joined: 06 Nov 2016
Posts: 4

From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
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%)ps we get ps 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 ps, it is insufficient.
combining the two data, we can get p (t%)ps. 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) \(p\frac{pt}{100}s=24475.52=168.48\). 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



Intern
Joined: 28 Dec 2016
Posts: 2

Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
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.



Math Expert
Joined: 02 Sep 2009
Posts: 46207

Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
17 Jan 2017, 01:18



Senior Manager
Joined: 05 Jan 2017
Posts: 427
Location: India

Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
23 Feb 2017, 06:12
Prompt analysis Gross pay will be p(10.01*t)  s = ps  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 ps and pt 3# any other relation so that we can come up to the exact figure
Statement analysis St 1: ps = 244. We don't know the value of pt. INSUFFICIENT St 2: pt = 7.552. We don't the value of ps. INSUFFICIENT St 1 & St 2: we know ps and pt. SUFFICIENT
Option C



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2738
Location: United States (CA)

Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
Show Tags
18 Jan 2018, 08:53
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 We are given that from p dollars, t percent was deducted for taxes and then s dollars was deducted for savings. Thus, what remained was: p(1  t/100)  s = p  pt/100  s = p  s  pt/100 So we need to determine a value of p  s  pt/100. Statement One Alone: p  s = 244 Statement one alone is not sufficient to answer the question. Although we know the value of p  s, we still need the value of pt. Statement Two Alone: pt = 7,552 Statement two alone is not sufficient to answer the question. Although we know the value of pt, we still need the value of p  s. Statements One and Two Together: Since we know that p  s = 244 and that pt = 7,552, we see that p  s  pt/100 = 244  7,552/100. Answer: C
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions




Re: From Leland's gross pay of p dollars last week, t percent
[#permalink]
18 Jan 2018, 08:53






