Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

At 8% converted quarterly, the present value of perpetuity of ₹900 payable at the end of each quarter is :

Options:

₹30,000

₹40,000

₹45,000

₹50,000

Correct Answer:

₹45,000

Explanation:

The correct answer is Option (3) → ₹45,000

The present value of a perpetuity is,

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

and,

Quarterly interest rate = $\frac{8\%}{4}=\frac{8}{4}=2\%$

$⇒PV=\frac{900}{0.02}=₹45,000$