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A machine costs ₹ 60,000 and its effective life is estimated to be 25 years. A sinking fund is to…

Mathematics20175 marksShort answer
A machine costs ₹ 60,000 and its effective life is estimated to be 25 years. A sinking fund is to be created for replacing the machine at the end of its life time when its scrap value is estimated as ₹ 5,000. The price of the new machine is estimated to be 100% more than the price of the present one. Find the amount that should be set aside at the end of each year, out of the profits, for the sinking fund if it accumulates at an interest of 6% per annum compounded annually.

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Application of Calculus

From ISC 2017 Mathematics Paper 1, question 13(a).