Rs.1210 were divided among A,B,C so that A : B = 5 : 4 and B : C = 9 : 10.Then,C gets : Choose the correct choice: A) rs . 340 B) rs . 400 C) rs . 450 D) rs . 475 E) none

Rationale: "solution a : b = 5 : 4 , b : c = 9 : 10 = ( 9 x 4 / 9 ) : ( 10 x 4 / 90 = 4 : 40 / 9 ∴ a : b : c = 5 : 4 : 40 / 9 = 45 : 36 : 40 . sum of ratio terms = ( 45 + 36 + 40 ) = 121 ∴ c ’ s share = rs . ( 1210 x 40 / 121 ) = rs . 400 . answer b"
Answer: B