a merchant marks goods up by 75 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 22.5 % . what % discount did the merchant offer ?
let p be the original price of the goods and let x be the rate after the markup . ( 1.75 p ) * x = 1.225 p x = 1.225 / 1.75 = 0.7 which is a discount of 30 % . the answer is c .
multiply(divide(subtract(subtract(add(const_1, divide(75, const_100)), const_1), divide(22.5, const_100)), add(const_1, divide(75, const_100))), const_100)