Math

Start Free Trial

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.

Download PDF Print Page Citation Share Link

Expert Answers

An illustration of the letter 'A' in a speech bubbles
| Certified Educator
Share Link Page Citation

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 +...

Check Out
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

Already a member? Log in here.

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

Approved by eNotes Editorial Team

Related Questions

Browse All