There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs.4576 , then what was the price of the article initially?	Choose the correct option.
A) rs . 5000 B) rs . 3000 C) rs . 4000 D) rs . 2000 E) rs . 6000

Rationale: "let the price of the article , four years age be rs . 100 in the 1 st year , price of the article = 100 + 30 = rs . 130 . in the 2 nd year , price = 130 - 20 % of 130 = 130 - 26 = rs . 104 . in the 3 rd year , price = 104 + 10 % of 104 = 104 + 10.4 = rs . 114.40 . but present price of the article is rs . 4576 for 114.4 - - - > 100 ; 4576 - - - > ? required price = ( 4576 * 100 ) / 114.4 = 40 * 100 = rs . 4000 . answer : c"
Answer: C