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ID: 3146180 • Letter: 3

Question

36% Take a Test- Thomas Lane PlayerTest.aspx?testid=1 671 43904¢ Secure | https:/ MAT 146, Fall 2017 Thomas Lane 10/22/176:13 PM Test: PRACTICE Midterm Exam Time Limlt: 03:00:00 Submit Test This Question: 1 pt 150f 1800 lete) This Test: 18 pts possible of 1 remarks up the priced its shoes at 15 % over cost. A par of esgoes on sale or 15% off and then on the dearance sacsare certage ateor Ashes nal asamer Naks cost. with a 10% off coupon good on all clearance items and buys the shoes. Express the store's profits on these shoes as a percentage of 1 of 2 The store's profit as a percentage of the cost of the original shoe is Type an integer or a decimal. Round to two decimal places as needed.) 0 of 5

Explanation / Answer

Let the cost price be c.

The price after markup is c + (150/100)c = 2.5c

The price after first discount = 2.5c - (15/100)2.5c = 2.125c

The price after second discount = 2.125c - (35/100)2.125c = 1.38125c

Price after coupon discount = 1.38125c - (10/100)*1.38125c = 1.243125c.

Store's profit = 1.243125c - c = 0.243125c

Profit percentage = 0.243125c/c * 100 = 24.31%.

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