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

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

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22 Feb 2007, 20:50
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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
[Reveal] Spoiler: OA

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Re: DS - Leland's gross pay (tricky...) [#permalink]

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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...

thanks!

My interpretation of the question is that we need to find the value of p-t-s in dollars

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

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

But the correct answer is C...

(maybe the correct answer is wrong...)

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26 Feb 2007, 19:41
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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!

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

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01 Sep 2013, 21:11
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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

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

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

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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?

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

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20 Oct 2013, 05:49
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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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Re: From Leland's gross pay of p dollars last week, t percent [#permalink]

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28 Nov 2013, 00:49
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@bunuel: there is a small error. in your explanation for statement 1 you confused 244 with 224. same for the combination of the statements

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

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28 Nov 2013, 06:43
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vogelleblanc wrote:
@bunuel: there is a small error. in your explanation for statement 1 you confused 244 with 224. same for the combination of the statements

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

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13 Mar 2014, 08:46
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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) $$p-\frac{pt}{100}-s=244-75.52=148.48$$. Sufficient.

Hope it's clear.

I am happy I'm not the only one making careless mistakes. 244-75.52=168.52

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

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

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24 Jul 2014, 18:18
Need p - pt/100 - s. Only C can give the required elements.

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

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02 Dec 2014, 15:32
after Bunuel's explanation, I think thats a wrap on this one. Very concise.

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

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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

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

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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.

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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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!

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

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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.

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

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

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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

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Re: From Leland's gross pay of p dollars last week, t percent   [#permalink] 23 Feb 2017, 06:12
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