An item was marked up 30 on the cost and labeled the sticker

An item was marked up 30% on the cost and labeled the sticker price. What is the maximum percent discount that the retailer can offer on the sticker price so thath the retailer will not incur a loss?

Solution

let hte cost of the item is100,acoorting to problem its listed price be=100+30/100=1003/10 let X be the required percent discont,therefore x(1003/100)=100 x=10000/1003=9.97%