grant question

4) X Co purchase an asset on 1st of January 20×7 at the cost of $90,000. X received a grant in relation to the cost of this asset of $15,000 it has decided to write off the grant income against the cost of the non current asset. The asset has a useful economic life of nine years.
What is the carrying amount of the asset as at 31st December 20×7?
A) $90,000
B) $80,000
C) $67,500
D) $66,667

Is my result correct?
90000/9=10000
15000/9=1667
90000-10000-15000+1667= 66667 (D)