Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

A piece of machinery costing Rs 25000 is expected to have a useful life of 4 years and a scrap value of zero. Find the annual depreciation charge using the sum of the years digits method.

Options:

₹11000, ₹ 7600, ₹ 5100 and ₹ 2700

₹10000, ₹ 7500, ₹ 5000 and ₹ 2500

₹9000, ₹ 7300, ₹ 5000 and ₹ 2500

₹10000, ₹ 7000, ₹ 5000 and ₹ 2000

Correct Answer:

₹10000, ₹ 7000, ₹ 5000 and ₹ 2000

Explanation:

The correct answer is option (4) : ₹10000, ₹ 7500, ₹ 5000 and ₹ 2500

Given that original cost of annual asset $=₹25000$

Useful life = 4 years

Sum of years digits = $ 1+ 2+ 3 + 4 = 10$

Depreciation schedule

Years Digit of the year in rev order Frac of the asset to be depreciation Annual depreciation (in ₹) Accumulation depreciation (in ₹ )
1 4 4/10 (4/10) ×25000= 10000 10000
2 3 3/10 (3/10)×25000= 7500 17500
3 2 2/10 (2/10)×25000= 5000 22500
4 1 1/10 (1/10)×25000= 2500 25000

So, annual depreciation are ₹10000, ₹7500, ₹5000 and ₹ 2500