Depreciation

Q) Auckland purchased a machine for $60,000 on 1 January 20X7 and assigned it a useful life of 15 years. On 31 March 20X9 it was revalued to $64,000 with no change in useful life. What will be depreciation charge in relation to this machine in the financial statements of Auckland for the year ending 31 December 20X9?

Right Answer : $4765

Answer I obtained : $4491

Sir, this was a question asked in my mock exams. In this question, I started by calculating the initial depreciation by dividing the initial cost of machine by it’s useful life of $15000, and got $4000.

After 2 years and 3 months, it was revalued to $64000 with no changes in it’s useful life. So, the new depreciation was calculated by dividing the new value by the remaining useful life of 13.75 years, and got $4654.5. So, in order to find the depreciation charge for the year ending December 31, I calculated the initial depreciation for three months till 31st March, which was 4000 × 3/12 = $1000. And for the depreciation for the rest 9 months is $3491. So the combined answer obtained was $4491. Can you please assess my answer and do explain where I went wrong ?