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A machine worth Rs. 490740 is depreciated at 15% on its opening value each year. When its value would reduce to Rs. 200000?
  • a)
    4 years 6 months 
  • b)
    4 years 7 months 
  • c)
    4 years 5 months 
  • d)
    5 years 7 months (appx.) 
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A machine worth Rs. 490740 is depreciated at 15% on its opening value ...
Depreciation Calculation:

Each year, the machine is depreciated at 15% of its opening value. Let V be the opening value of the machine, then the value of the machine after n years of depreciation is given by:

V(1 - 0.15)^n

where 0.15 is the depreciation rate.

Given that the opening value of the machine is Rs. 490740 and we need to find the number of years it takes for its value to reduce to Rs. 200000.

Solving for n:

Rs. 200000 = Rs. 490740(1 - 0.15)^n
0.407089 = 0.85^n
n = log 0.407089 / log 0.85
n = 5.7 years (approx.)

Therefore, it takes approximately 5 years and 7 months for the value of the machine to reduce to Rs. 200000.

Answer: (d) 5 years 7 months (approx.)
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Community Answer
A machine worth Rs. 490740 is depreciated at 15% on its opening value ...
200000/490740= 1+(-15)/100
dep use ho raha hai isliye (-) sign
(0.407)= (0.85)t
by x= on calc till the ans comes
5.7 mths approx
hope this help
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A machine worth Rs. 490740 is depreciated at 15% on its opening value each year. When its value would reduce to Rs. 200000?a)4 years 6 monthsb)4 years 7 monthsc)4 years 5 monthsd)5 years 7 months (appx.)Correct answer is option 'D'. Can you explain this answer?
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A machine worth Rs. 490740 is depreciated at 15% on its opening value each year. When its value would reduce to Rs. 200000?a)4 years 6 monthsb)4 years 7 monthsc)4 years 5 monthsd)5 years 7 months (appx.)Correct answer is option 'D'. 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 worth Rs. 490740 is depreciated at 15% on its opening value each year. When its value would reduce to Rs. 200000?a)4 years 6 monthsb)4 years 7 monthsc)4 years 5 monthsd)5 years 7 months (appx.)Correct answer is option 'D'. 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 worth Rs. 490740 is depreciated at 15% on its opening value each year. When its value would reduce to Rs. 200000?a)4 years 6 monthsb)4 years 7 monthsc)4 years 5 monthsd)5 years 7 months (appx.)Correct answer is option 'D'. Can you explain this answer?.
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