Question

At Danielle’s clothing boutique, if an item does not sell for eight weeks, she marks it down by 15%. If it remains unsold after that, she marks it down an additional 5% each week until she can no longer make a profit. Then she donates it to charity. Rafael wants to buy a coat originally priced $150, but he can’t afford more than $110. If Danielle paid $100 for the coat, during which week(s) could Rafael buy the coat within his budget? Justify your answer.

Answer 1

8 weeks the coat would cost 150 * (1-0.15+ = 127.50

9 week it would cost 127.50 *(1-0.05) = 121.13

10 week = 121.13 * (1-0.05) = 115.07

week 11 = 115.05 * (1-0.05) = 109.32

he can buy it in week 11, because it would be less than 110 and the sore would still make a profit, because it costs more than 100