Final answer:
Using straight line depreciation, the charge for the year would be $87,400, while using the reducing balance method, it would be $67,300.
Step-by-step explanation:
The depreciation charge for Helios International for the year to 31 July 20X7 can be calculated using both the straight line and reducing balance methods.
Straight Line Depreciation
Using the straight line depreciation method, the charge is the same each year. The cost at the beginning was $310,000 plus the new asset of $79,200, totaling $389,200. A full year's depreciation at 25% for the new asset would be $19,800, but because it was purchased during the year (on 1 January 20X7), only half a year's depreciation applies, which would be $9,900. The old assets would depreciate by $77,500 ($310,000 initial cost x 25%). Thus, the total depreciation charge would be $77,500 + $9,900 = $87,400.
Reducing Balance Depreciation
Using the reducing balance method, depreciation is calculated on the book value of the assets at the start of the year, which is $190,000 ($310,000 - $120,000 in accumulated depreciation). This results in a depreciation charge of $47,500 (25% of $190,000). The new asset would add $19,800 of depreciation as it would be calculated for the full year being new. The total depreciation then is $47,500 + $19,800 = $67,300 for the year.