Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?	Choose the most appropriate option:
A) $ 496.30 B) $ 512.40 C) $ 555.40 D) $ 574.90 E) $ 588.20

Rationale: "670 is the final price that is the selling price . now suppose , x is the cost price . therefore 670 = 1.35 * x now while doing x = 670 / 1.35 calculation . i saw that the answer choices begin with 5 . so i did 135 * 5 = 675 . as 670 is less than 675 . therefore the quotient will be less than 5 . which is only in the answer a ."
Answer: A