Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

A company establishes a sinking fund to provide for payment of ₹2.50.000 debt, maturing in 4 year Contribution to the fund are to be made at the end of each year, Find the amount of each annual deposit if interest rate is 18% p.a. [Assume (1.18) 4 ≈ 2].

Options:

₹40,000

₹45,000

₹30,000

₹36,000

Correct Answer:

₹45,000

Explanation:

Using formula of sinking fund

$M=\frac{A}{r}[(1+r)^n-1]$

$250000=\frac{A}{.18}[(1+.18)^4-1]=\frac{A}{.18}[(1.18)^4-1]$

$A=\frac{250000×.18}{(1.18)^4-1}=45000$ ∴(1.18)4 ≈ 2