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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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E

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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?

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.

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

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13 Mar 2014, 08:46

1

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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.

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

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

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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

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?

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

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22 Sep 2016, 14:52

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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.

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!

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.

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.

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

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