Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

A machine costs a company Rs 525000 and its effective life is estimated to be 20 years. A sinking fund is created for replacing the machine at the end of its lifetime when its scrap realizes a sum of RS 25000 only. Calculate what amount should be provided every year out of profits for the sinking fund if it accumulates an interest of 5% per annum.

Options:

15131.36

15121.27

15141.46

15151.45

Correct Answer:

15121.27

Explanation:

The correct answer is option (2) : 15121.27

Using FVAF tables

$A=RS_{\overline{n}/i}, $ we get

$500000= RS_{\overline{20}/0.05}$

$500000= R×33.0660$

$∴R=\frac{500000}{33.0660}=15121.27$