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CUET · MATHS · PYQ PAPER 2025

A company purchased a machine for ₹ 15,00,000 and its effective life is estimated to be 10 years. A sinking fund is created for replacing the machine at the end of its effective life when its scrap value is ₹ \(2,42,000\). What amount company should provide at the end of every year out of profits for the sinking fund if it accumulates an interest of \(5 \%\) per annum? [Given: \((1.05)^{10}=1.629\)]

  1. A ₹ \(62,900\)
  2. B ₹ \(1,00,000\)
  3. C ₹ \(1,20,000\)
  4. D ₹ \(1,06,290\)
Verified Solution

Answer & Solution

Correct Answer

(B) ₹ \(1,00,000\)

Step-by-step Solution

Detailed explanation

Amount to be accumulated \(FV =\) ₹ 15,00,000 - ₹ 2,42,000 = ₹ 12,58,000 \(P = FV \left[ \frac{i}{(1+i)^n - 1} \right]\) \(P =\) ₹ \(12,58,000 \left[ \frac{0.05}{(1.05)^{10} - 1} \right]\) \(P =\) ₹ \(12,58,000 \left[ \frac{0.05}{1.629 - 1} \right]\) \(P =\) ₹…