Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

The annuity, whose periodic payment is ₹ R tor infinite periods interest rate being r% per period $\begin{pmatrix}i=\frac{r}{100}\end{pmatrix}$ and periodic payment is made at end of each payment period is given by the equation:

Options:

$P=R+\frac{R}{i}$

$P=\frac{R}{i}$

P = R × i

$P=R-\frac{R}{i}$

Correct Answer:

$P=\frac{R}{i}$

Explanation:

$P=\frac{R}{i}[1-(1+i)^{-n}]$

∵ n = ∞

$∴ (1+i)^∞=0$

$∴P=\frac{R}{i}$