P, Q and R have $6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Select:
A) 2400 B) 2403 C) 3998 D) 2539 E) 1930

Rationale: "a 2400 let the amount with r be $ r r = 2 / 3 ( total amount with p and q ) r = 2 / 3 ( 6000 - r ) = > 3 r = 12000 - 2 r = > 5 r = 12000 = > r = 2400 ."
Answer: A