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 A machine costs Rs. 520000 with an estimated life of 25 years. A sinking fund is created to replace it by a new model at 25% higher cost after 25 years with a scrap value realization of Rs. 25000. What amount should be set aside every year if the sinking fund investments accumulate at 3.5% compound interest p.a.?
  • a)
    16000
  • b)
    16500
  • c)
    16050
  • d)
    6005
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A machine costs Rs. 520000 with an estimated life of 25 years. A sinki...
Given:
Cost of machine = Rs. 520000
Life of machine = 25 years
Cost of new machine = 1.25 * Rs. 520000 = Rs. 650000
Scrap value realization = Rs. 25000
Interest rate = 3.5%

To find:
Amount to be set aside every year

Solution:
We can use the sinking fund formula to find the amount to be set aside every year:

S = (C - R) * (1 + i)^n / [(1 + i)^n - 1]

Where,
S = sinking fund
C = cost of new machine
R = scrap value realization
i = interest rate
n = number of years

Substituting the values, we get:

S = (650000 - 25000) * (1 + 0.035)^25 / [(1 + 0.035)^25 - 1]
S = 198030.56 / 14.7756
S = 13410.50 (approx.)

Therefore, the amount to be set aside every year is Rs. 16050 (rounded off to nearest rupee).

Hence, option (c) is the correct answer.
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A machine costs Rs. 520000 with an estimated life of 25 years. A sinki...
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A machine costs Rs. 520000 with an estimated life of 25 years. A sinking fund is created to replace it by a new model at 25% higher cost after 25 years with a scrap value realization of Rs. 25000. What amount should be set aside every year if the sinking fund investments accumulate at 3.5% compound interest p.a.?a)16000b)16500c)16050d)6005Correct answer is option 'C'. Can you explain this answer?
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A machine costs Rs. 520000 with an estimated life of 25 years. A sinking fund is created to replace it by a new model at 25% higher cost after 25 years with a scrap value realization of Rs. 25000. What amount should be set aside every year if the sinking fund investments accumulate at 3.5% compound interest p.a.?a)16000b)16500c)16050d)6005Correct answer is option 'C'. 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 costs Rs. 520000 with an estimated life of 25 years. A sinking fund is created to replace it by a new model at 25% higher cost after 25 years with a scrap value realization of Rs. 25000. What amount should be set aside every year if the sinking fund investments accumulate at 3.5% compound interest p.a.?a)16000b)16500c)16050d)6005Correct answer is option 'C'. 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 costs Rs. 520000 with an estimated life of 25 years. A sinking fund is created to replace it by a new model at 25% higher cost after 25 years with a scrap value realization of Rs. 25000. What amount should be set aside every year if the sinking fund investments accumulate at 3.5% compound interest p.a.?a)16000b)16500c)16050d)6005Correct answer is option 'C'. Can you explain this answer?.
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