Need explanation on how to deal with this type of problem

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Currently, there are 40 cars in each row of the lot at a car dealership. If the parking
spaces are to be widened and lengthened so that only 30 cars fit in each row and
fewer rows fit in the lot, how many cars will then fit in the entire lot?
(1) There will be 3 fewer rows of cars.
(2) Currently there are 10 rows of cars.

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by GMATGuruNY » Fri Apr 11, 2014 5:26 am
amitmj wrote:Currently, there are 40 cars in each row of the lot at a car dealership. If the parking spaces are to be widened and lengthened so that only 30 cars fit in each row and fewer rows fit in the lot, how many cars will then fit in the entire lot?

(1) There will be 3 fewer rows of cars.
(2) Currently there are 10 rows of cars.
Statement 1: There will be 3 fewer rows of cars.
Test one case that also satisfies statement 2.
Case 1: Current number of rows = 10
After 3 rows are removed, the remaining number of rows = 10-3 = 7.
Since each of these 7 rows will contain 30 cars, the total number of cars remaining = 7*30 = 210.

Test one case that DOESN'T satisfy statement 2.
Case 2: Current number of rows = 5
After 3 rows are removed, the remaining number of rows = 5-3 = 2.
Since each of these 2 rows will contain 30 cars, the total number of cars remaining = 2*30 = 60.

Since the total number of cars remaining can be different values, INSUFFICIENT.

Statement 2: Currently there are 10 rows of cars.
Case 1 also satisfies statement 2.
In Case 1, the total number of cars remaining = 210.

Case 3: Number of rows removed = 1
After 1 row is removed, the remaining number of rows = 10-1 = 9.
Since each of these 9 rows will contain 30 cars, the total number of cars remaining = 9*30 = 270.

Since the total number of cars remaining can be different values, INSUFFICIENT.

Statements combined:
Both statements are satisfied only by Case 1.
Thus, the total number of cars remaining = 210.
SUFFICIENT.

The correct answer is C.
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