Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

At what rate of interest will the present value of a perpetuity of ₹1,000 payable at the end of every 6 months be ₹20,000 ?

Options:

15%

10%

20%

5%

Correct Answer:

10%

Explanation:

The correct answer is Option (2) → 10%

The present value of a perpetuity,

$PV=\frac{A}{r}$

$⇒20,000=\frac{1,000}{r}$

$⇒r=0.05$

∴ Annual Rate = $0.05×2=0.10=10\%$