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A machine is depreciated at the rate of 20% on reducing balance. The original cost of the machine was Rs. 100000 and its ultimate scrap value was Rs. 30000. The effective life of the machine is
  • a)
    4.5 years (appx.)
  • b)
    5.4 years (appx.)
  • c)
    5 years (appx.)
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A machine is depreciated at the rate of 20% on reducing balance. The o...
Given data:
Original cost of the machine= Rs. 100000
Ultimate scrap value= Rs. 30000
Rate of depreciation= 20%

Let us assume that the effective life of the machine is 'n' years.

Calculation:
Using the reducing balance method, the depreciation for the first year would be:
= 20% of Rs. 100000
= Rs. 20000

The value of the machine after the first year would be:
= Rs. 100000 - Rs. 20000
= Rs. 80000

For the second year, the depreciation would be:
= 20% of Rs. 80000
= Rs. 16000

The value of the machine after the second year would be:
= Rs. 80000 - Rs. 16000
= Rs. 64000

Similarly, for the third year, the depreciation would be:
= 20% of Rs. 64000
= Rs. 12800

The value of the machine after the third year would be:
= Rs. 64000 - Rs. 12800
= Rs. 51200

Continuing this method, we can calculate the value of the machine after 'n' years using the formula:
Value of the machine after n years= Original cost * (1- depreciation rate)^n

Rs. 30000= Rs. 100000 * (1- 0.2)^n

0.3= 0.8^n

Taking logarithm on both sides, we get:
n= log(0.3)/ log(0.8)
n= 5.4 years (approx.)

Therefore, the effective life of the machine is approximately 5.4 years.

Hence, the correct answer is option 'B'.
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A machine is depreciated at the rate of 20% on reducing balance. The o...
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A machine is depreciated at the rate of 20% on reducing balance. The original cost of the machine was Rs. 100000 and its ultimate scrap value was Rs. 30000. The effective life of the machine isa)4.5 years (appx.)b)5.4 years (appx.)c)5 years (appx.)d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A machine is depreciated at the rate of 20% on reducing balance. The original cost of the machine was Rs. 100000 and its ultimate scrap value was Rs. 30000. The effective life of the machine isa)4.5 years (appx.)b)5.4 years (appx.)c)5 years (appx.)d)None of theseCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A machine is depreciated at the rate of 20% on reducing balance. The original cost of the machine was Rs. 100000 and its ultimate scrap value was Rs. 30000. The effective life of the machine isa)4.5 years (appx.)b)5.4 years (appx.)c)5 years (appx.)d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine is depreciated at the rate of 20% on reducing balance. The original cost of the machine was Rs. 100000 and its ultimate scrap value was Rs. 30000. The effective life of the machine isa)4.5 years (appx.)b)5.4 years (appx.)c)5 years (appx.)d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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