SOLUTION: A store brought a \$1000 shipment of sweaters and offered them for sale after a \$15 markup on each sweater. All but 10 sweaters were sold, and the store made a \$400 profit on the sw

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 Question 637151: A store brought a \$1000 shipment of sweaters and offered them for sale after a \$15 markup on each sweater. All but 10 sweaters were sold, and the store made a \$400 profit on the sweaters. How many sweaters did the store buy?Answer by stanbon(57400)   (Show Source): You can put this solution on YOUR website!A store brought a \$1000 shipment of sweaters and offered them for sale after a \$15 markup on each sweater. All but 10 sweaters were sold, and the store made a \$400 profit on the sweaters. How many sweaters did the store buy? ---- Let the # of sweaters bought be "x". --- Average price paid was 1000/x dollars ----- Markup price was (1000/x)+15 dollars ------- Profit equation: value of those sold - cost = profit ----- (x-10)[(1000/x)+15] - 1000 = 400 ------- (x-10)[(1000+15x)/x] = 1400 --- (1-(10/x)(1000+15x) = 1400 ---- x = 25 (# of shirts purchased) =============================== Cheers, Stan H.