Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Question:

The annual depreciation of a car is ₹40,000. If the scrap value of the car after 15 years is ₹50,000, then the original cost of the car using linear method is

Options:

₹5,75,000

₹6,25,000

₹5,50,000

₹6,50,000

Correct Answer:

₹6,50,000

Explanation:

The correct answer is Option (4) → ₹6,50,000

Given:

Annual depreciation: ₹40,000

Scrap value after 15 years: ₹50,000

Let original cost = $C$

Linear depreciation formula: $C - (\text{Depreciation} \times \text{years}) = \text{Scrap value}$

Substitute values: $C - (40,000 \times 15) = 50,000$

$C - 600,000 = 50,000 \Rightarrow C = 650,000$