abhasjha wrote:During a one-day sale, a store sold each sweater of a certain type for $30 more than the store's cost to purchase each sweater. How many of these sweaters were sold during the sale?
(1) During the sale, the total revenue from the sale of these sweaters was $270.
(2) During the sale, the store sold each of these sweaters at a price that was 50 percent greater than the store's cost to purchase each sweater.
Statement 1:
Case 1: 1 sweater is sold
In this case, the selling price of the sweater = 270.
Since the markup = 30, the cost price of the sweater = 270-30 = 240.
Case 1: 2 sweaters are sold
In this case, the selling price of each sweater = 270/2 = 135.
Since the markup = 30, the cost price of each sweater = 135-30 = 105.
Since the number of sweaters sold can be different values, INSUFFICIENT.
Statement 2:
Since the $30 markup is 1/2 the cost of each sweater, the cost of each sweater = 60.
Thus, the selling price of each sweater = 60+30 = 90.
No way to determine how many sweaters were sold.
Statements combined:
Since the total revenue = 270 and the selling price of each sweater = 90, the number of sweaters sold = 270/90 = 3.
SUFFICIENT.
The correct answer is
C.
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