# 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.

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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