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CUET · MATHS · PYQ PAPER 2025

At what rate of interest will the present value of a perpetuity of Rs. 1000 payable at the end of every six months be Rs. 20000?

  1. A \(10 \%\)
  2. B \(12 \%\)
  3. C \(8 \%\)
  4. D \(11 \%\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(10 \%\)

Step-by-step Solution

Detailed explanation

\(r_{semi} = \frac{PMT}{PV}\) \(r_{semi} = \frac{1000}{20000} = 0.05\) \(r_{annual} = r_{semi} \times 2 = 0.05 \times 2 = 0.10 = 10\%\)