Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

A machine being used by a company is estimated to have a life of 15 years. At that time a new machine would cost Rs 75000 and the scrap of the old machine would yield Rs 9600 only. A sinking fund is created for replacing the machine at the end of its life. What sum should be retained by the company at the end of every year to accumulate at 6% per annum ?

Options:

2999.76

2899.76

2709.76

2809.76

Correct Answer:

2809.76

Explanation:

The correct answer is option (4) : 2809.76

Using FVAF tables

$A= RS_{\overline{n}/i}$

$65400=RS_{\overline{15}/0.06}$

$65400=R×23.2760$

$R=\frac{65400}{23.2760}=2809.76$