An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 15% profit, offers a discount of 15% on the marked price. What is his actual profit on the sales? Choose the correct option: A) 12.50 % B) 27.50 % C) 14 % D) 14.50 % E) none

Rationale: "sol . let c . p . = rs . 100 . then , marked price = rs . 150 . s . p . = 85 % of rs . 150 = rs . 127.5 . ∴ gain % = 27.50 % . answer b"
Answer: B