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Question
A manufacturer estimates that his machine depreciates by 15% of its value at the beginning of the year. Find the original value (cost) of the machine, if it depreciates by Rs. 5,355 during the second year.
Solution
Let the original cost of the machine = Rs. 100.
∴ Depreciation during the 1st year = 15% of Rs. 100 = Rs, 15.
Value of the machine at the beginning of the 2nd year
= Rs.100 - Rs.15 = Rs. 85
∴ Depreciation during the 2nd year = 15% of Rs. 85 = Rs. 12.75
Now, when depreciation during 2nd year = Rs, 12.75,
original cost = Rs. 100
∴ when depreciation during 2nd year = Rs. 5,355.
original cost = Rs. `100/12.75 xx 5,355` = Rs. 42,000.
Hence, original cost of the machine is Rs. 42,000.
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