GATE AG 2014 • Q21 NAT • 1 Mark

Section 2: Farm Machinery

Farm Machinery

Subtopic: Cost analysis of implements and tractors

Question Statement:

A vertical conveyor reaper costing Rs. 75000 has a useful life of 8 years. Taking salvage value of the machine as 10% of the initial cost, the depreciated value after half of its useful life following straight line method will be Rs. ________.

Official Answer Key:

41250 to 41250

Step-by-Step Solution & Explanation

Salvage value, S = 0.10 × 75,000 = Rs. 7,500. Annual depreciation (straight line) = (P − S)/L = (75,000 − 7,500)/8 = Rs. 8,437.50/year. After half the useful life (4 years): Depreciated value = P − 4×(annual depreciation) = 75,000 − 4(8,437.5) = 75,000 − 33,750 = Rs. 41,250.

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