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pls help with said question

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pls help with said question

by kartik1979 » Mon Mar 23, 2009 10:45 am
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
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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Source: — Data Sufficiency |
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by 2ndShot » Mon Mar 23, 2009 11:11 am
From the question we can derive the equation: p-s-pt/100=?

statement (1) tells us that p-s=244 and so 244-pt/100. NOT SUFFICIENT

statement (2) tells us that pt=7552 and so p-s-7552/100. NOT SUFFICIENT

However both statements combined give us 244-7552/100. SUFFICIENT

So the answer is C.
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by gmat740 » Wed Mar 25, 2009 12:35 am
Our requirement is to find the equation:

p-(p*t/100)-(s) = ?

Now,
this can be rewritten as:

(p-s) - pt/100

Statement 1 gives =(p-s)
statement 2 gives : pt

So answer is C

Hope now this makes more sense
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