Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

The present value of a perpetuity of ₹500 payable at the end of the every 6 months is ₹10,000, then rate of onterest will be :

Options:

10%

$\frac{1}{10}$%

5%

20%

Correct Answer:

10%

Explanation:

The correct answer is Option (1) → 10%

The Present value of a perpetuity is,

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

$⇒10,000=\frac{500}{r}$

$⇒r=0.05$ (per 6 months)

∴ Annual interest Rate = $0.05×2=10\%$