A shopkeeper sold an article offering a discount of 4% and earned a profit of 38%. What would have been the percentage of profit earned if no discount was offered? Select:  A) 24  B) 28  C) 30  D) 32  E) 44

Rationale: "let c . p . be rs . 100 . then , s . p . = rs . 138 let marked price be rs . x . then , 96 / 100 x = 138 x = 13800 / 96 = rs . 143.75 now , s . p . = rs . 143.75 , c . p . = rs . 100 profit % = 44 % . answer : e"
Answer: E