How much percent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 15% on the marked price, he gains 8%?

1 answer

let the rate be r

(.85)r = 1.08
r = 1.08/.85 = 1.2706 or 27.1%

check:
suppose an item costs $100
after markup , cost = 127.10
discount = 127.1(.15) = 19.065
selling price = 108.035
profit = 8.035
percent profit = 8.035/100 = .08035 or appr 8%