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Senior Manager  Joined: 11 Feb 2007
Posts: 284
From Leland's gross pay of p dollars last week, t percent  [#permalink]

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52 00:00

Difficulty:   35% (medium)

Question Stats: 70% (01:31) correct 30% (01:41) wrong based on 1397 sessions

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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
Math Expert V
Joined: 02 Sep 2009
Posts: 58464
Re: From Leland's gross pay of p dollars last week, t percent  [#permalink]

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19
22
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.

Hope it's clear.
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Senior Manager  Joined: 12 Mar 2006
Posts: 280
Schools: Kellogg School of Management
Re: DS - Leland's gross pay (tricky...)  [#permalink]

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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...

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  Joined: 11 Feb 2007
Posts: 284

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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: 280
Schools: Kellogg School of Management

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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]

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1
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  Joined: 02 Jul 2013
Posts: 18
Schools: LBS MIF '15
Re: From Leland's gross pay of p dollars last week, t percent  [#permalink]

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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?
Intern  Joined: 03 Feb 2014
Posts: 7
Re: From Leland's gross pay of p dollars last week, t percent  [#permalink]

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1
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.

Hope it's clear.

I am happy I'm not the only one making careless mistakes. 244-75.52=168.52 Math Expert V
Joined: 02 Sep 2009
Posts: 58464
Re: From Leland's gross pay of p dollars last week, t percent  [#permalink]

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Fabino26 wrote:
I am happy I'm not the only one making careless mistakes. 244-75.52=168.52 Thank you.

Actually it's 168.48.
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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]

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Need p - pt/100 - s. Only C can give the required elements.
Manager  Joined: 08 Feb 2014
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Location: United States
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GMAT 1: 650 Q39 V41 WE: Analyst (Commercial Banking)
Re: From Leland's gross pay of p dollars last week, t percent  [#permalink]

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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]

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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
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Location: United States
GMAT 1: 700 Q46 V40 GPA: 3.4
From Leland's gross pay of p dollars last week, t percent  [#permalink]

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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.

Hope it's clear.

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

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

I understand now... pt= 7552 is just the numerator... I assumed pt=7552 is the same pt/100=7552
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Re: From Leland's gross pay of p dollars last week, t percent  [#permalink]

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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 V
Joined: 02 Sep 2009
Posts: 58464
Re: From Leland's gross pay of p dollars last week, t percent  [#permalink]

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

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

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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.

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

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_________________ Re: From Leland's gross pay of p dollars last week, t percent   [#permalink] 19 Jan 2019, 11:32
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