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
OA: C
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GMATPrep EP1: From Leland's gross pay of p dollars
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Pay after the two deductions = p - (t/100)p - s.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 = 7552
Rephrase the expression above in terms of the two statements (p-s and pt):
p - (t/100)p - s = p - s - pt/100.
Question stem, rephrased:
What is the value of p - s - pt/100?
Statement 1: p-s = 244
No information about pt/100.
INSUFFICIENT.
Statement 2: pt = 7552
No information about p-s.
INSUFFICIENT.
Statements combined:
p - s - pt/100 = 244 - 7552/100.
SUFFICIENT.
The correct answer is C.
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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:NandishSS 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
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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