After 10% of the inhabitants of a village disappeared, a panic set in during which 25% of the remaining inhabitants left the village. At that time, the population was reduced to 5535. What was the number of original inhabitants?  Choose the correct choice from the following answers
A) 7900  B) 8200  C) 8500  D) 8800  E) 9100

Rationale: "let the total number of original inhabitants be x . ( 75 / 100 ) * ( 90 / 100 ) * x = 5535 ( 27 / 40 ) * x = 5535 x = 5535 * 40 / 27 = 8200 the answer is b ."
Answer: B