A retailer bought a number of shirts for 1800 and sold all but 6 at a profit of $20 per shirt actually sold. With the total amount received he could buy 30 more shirts than before. Find the cost per shirt.

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Let the cost of each shirt for the retailer be C. He bought 1800 shirts and sold 1794 of them. Each shirt was sold for a profit of $20. The price at which it was sold is C + 20. The total amount earned by the retailer is 1794*(20 +...

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Let the cost of each shirt for the retailer be C. He bought 1800 shirts and sold 1794 of them. Each shirt was sold for a profit of $20. The price at which it was sold is C + 20. The total amount earned by the retailer is 1794*(20 + C) = $35880 + 1794C.

As 30 more shirts could be bought with this amount than he could buy initially:

35880 + 1794C = 1830C

=> 35880 = 36C

=> C = 996.67

The cost per shirt is $996.67

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