Throughout last year, a stylish jacket had a full price of P

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Throughout last year, a stylish jacket had a full price of \(P\) in a certain store. At the beginning of this year, the regular full price of the jacket rose \(A\%\) percent. Shortly after the beginning of this year, this store had a sale, and Margarette bought the jacket at \(B\%\) less than then this year's current full price, where \(B > A\). How much did Margarette save, buying the jacket this year on sale, as compared to what she would have spent last year?

Statement #1: \(P = \$250\)

Statement #2: \(B - A = 5\)

[spoiler]OA=E[/spoiler]

Source: Magoosh
Source: — Data Sufficiency |

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by deloitte247 » Fri Dec 06, 2019 9:30 pm
Full price throughout last year =P
Price at the beginning of this year = P+A%
Price at which Margaret bought the jacket = (P+A%) - B%
Question: How much did Margarette save, buying the jacket this year on sale, as compared to what she would have spent last year?
Savings = P - [(P + A%) - B%]
Statement 1: P = $250
Savings = P - [(P + A%) - B%]
= 250 - [(250 + A%) - B%]
The value of A% and B% are unknown and we only that B>A. So, we cannot evaluate Margaret's savings from this information.
Therefore, statement 1 is NOT SUFFICIENT.

Statement 2: B - A = 5
B = 5 +A or A = B - 5
Savings = P - [(P + A%) - B%]
Here, we have unknown variables P, A, and B. Therefore, statement 2 is NOT SUFFICIENT.

Combining both statements together
P = $250
B - A = 5, B = 5 +A or A = B - 5
Also, in this condition, the value of A and B are unknonw, and as such, we cannot evaluate Margaret's savings from the information provided.
Therefore, both statements combined are NOT SUFFICIENT.

Answer = option E