Problem: a distributor sells a product through an on - line store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 15 per item . what is the price that the buyer observers on - line if the distributor wants to maintain a 40 % profit on the cost of the item ?
Rationale: "producer price = $ 15 ; the distributor wants to maintain a 20 % profit on the cost of the item , thus he must get $ 15 * 1.2 = $ 18 after the store takes a commission of 40 % of the final price - - > ( final price ) * 0.6 = $ 18 - - > ( final price ) = $ 30 . answer : b ."
annotated_formula: multiply(multiply(15, divide(add(const_100, 40), const_100)), divide(add(const_100, 20), const_100))