Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

A machine costing ₹36000 has an effective life of 5 years with scrap value of ₹5000 following a linear method of depreciation. Which of the following statements are correct?

(A) The value of the machine after 1 year is ₹31000
(B) The value of the machine after 2 years is ₹23600
(C) The value of the machine after 3 years is ₹18400
(D) The value of the machine after 4 years is ₹11200

Choose the correct answer from the options given below:

Options:

(A), (C) and (D) only

(B) and (C) only

(B) and (D) only

(C) and (D) only

Correct Answer:

(B) and (D) only

Explanation:

The correct answer is Option (3) → (B) and (D) only

Cost = ₹36000

Scrap value = ₹5000

Life = 5 years

Annual depreciation = $\frac{36000 - 5000}{5} = \frac{31000}{5} = 6200$

Value after 1 year = $36000 - 6200 = 29800$

Value after 2 years = $36000 - 2(6200) = 23600$

Value after 3 years = $36000 - 3(6200) = 17400$

Value after 4 years = $36000 - 4(6200) = 11200$

The correct statements are (B) and (D).