Of the two machines purchased, the first one’s share of cost is $37.5 %$ . Depreciation is to be calculated annually at the rates of $20 %$ and $15 %$ on the first and second machines respectively, of the value of each machine at the beginning of the year. At the end of two years, the total value of depreciation is what percent of the total cost?

32.94%

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33.36%

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30.84%

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36%

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Solution

The correct option is C 30.84%
Let the cost of two machines be Rs. 800

So, cost of $1^{s t}$ machine = $37.5 %$ of Rs. 800 = Rs. 300

Cost of $2^{n d}$ machine = $62.5 %$ of Rs. 800 = Rs. 500

Total cost of 2 Machines at the end of 2 yrs = 553.25

Total depreciation $= 246.75 = (\frac{246.75}{800}) \times 100 = 30.84 %$

Hence option (c)

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The correct option is C 30.84%Let the cost of two machines be Rs. 800 So, cost of 1st machine = 37.5% of Rs. 800 = Rs. 300 Cost of 2nd machine = 62.5% of Rs. 800 = Rs. 500 Total cost of 2 Machines at the end of 2 yrs = 553.25 Total depreciation =246.75=(246.75800)×100=30.84% Hence option (c)