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From Leland's gross pay of p dollars last week, t percent [#permalink]
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22 Feb 2007, 19:50
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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
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Re: DS  Leland's gross pay (tricky...) [#permalink]
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22 Feb 2007, 20:14
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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...
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



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



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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, 20:11
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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%)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



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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, 04:35
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?



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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, 04:49
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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%)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.
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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, 07:46
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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%)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



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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, 07:59



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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, 17:18
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, 14:32
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, 17:28
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, 17:29
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



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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, 13:32
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, 00:18



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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, 05:12
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



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Re: From Leland's gross pay of p dollars last week, t percent [#permalink]
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18 Jan 2018, 07:53
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
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