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Amrabdelnaby
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Is the difference between the $50 selling price and the cost of the game greater than $8?If a certain store purchased a computer game and then sold it for $50, was the store's gross profit from the purchase and sale of the game less than $8?
(1) The store 's gross profit from the purchase and sale of the game was less than 25 percent of the amount for which the store purchased the game
(2) The store 's gross profit from the purchase and sale of the game was greater than 10 percent of the amount for which the store purchased the game
50 - C > 8
42 > C
C < 42
Question stem, rephrased:
Is C < 42?
Statement 1:
In other words, the difference between the $50 selling price and the cost of the game was less than 1/4 of the cost:
50 - C < (1/4)C
50 < (5/4)C
40 < C
C > 40.
If C = 41, then the answer to the question stem is YES.
If C = 43, then the answer to the question stem is NO.
INSUFFICIENT.
Statement 2:
In other words, the difference between the $50 selling price and the cost of the game was more than 1/10 of the cost:
50 - C > (1/10)C
50 > (11/10)C
500/11 > C
C < 500/11
C < 45+.
If C = 41, then the answer to the question stem is YES.
If C = 43, then the answer to the question stem is NO.
INSUFFICIENT.
Statements combined:
40 < C < 45+.
If C = 41, then the answer to the question stem is YES.
If C = 43, then the answer to the question stem is NO..
INSUFFICIENT.
The correct answer is E.
