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A motorcycle has a scrap value of Rs. 22,500 after 15 years of its purchase. If the annual depreciation charge is Rs. 8,500, then the original cost by linear method is:

Solution

✅ Correct Option: 2

Given information:

Scrap value after 15 years = Rs. 22,500

Annual depreciation = Rs. 8,500

Time period = 15 years


Under the linear depreciation method, the motorcycle loses Rs. 8,500 in value each year.

Total Depreciation = Annual Depreciation × Number of Years

Total Depreciation = 8,500 × 15

Total Depreciation = Rs. 1,27,500


The relationship between original cost, depreciation, and scrap value:

Original Cost - Total Depreciation = Scrap Value

Original Cost = Scrap Value + Total Depreciation

Original Cost = 22,500 + 1,27,500

Original Cost = Rs. 1,50,000


Therefore, the original cost of the motorcycle is Rs. 1,50,000.

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