GMATPrep EP1: From Leland's gross pay of p dollars

[NandishSS]

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

[GMATGuruNY]

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

Pay after the two deductions = p - (t/100)p - s.

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.

[Scott@TargetTestPrep]

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