CUET · MATHS · PYQ PAPER 2023

A main frame computer whose cost is₹ 5,00,000 will depreciate to a scrap value of 50,000 in 5 years. Using the linear method of depreciation, the book value of the computer at the end of 3 years will be :

A ₹ 90,000
B ₹ 180,000
C ₹ 2,70,000
D ₹ 2,30,000

Verified Solution

Answer & Solution

Correct Answer

(D) ₹ 2,30,000

Step-by-step Solution

Detailed explanation

Annual Depreciation \( = \frac{\text{₹ 5,00,000} - \text{₹ 50,000}}{5} = \text{₹ 90,000} \) Book Value at end of 3 years \( = \text{₹ 5,00,000} - (\text{₹ 90,000} \times 3) = \text{₹ 5,00,000} - \text{₹ 2,70,000} = \text{₹ 2,30,000} \)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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(C) Glass	(III) \(4.5 \times 10^3\)
(D) Graphite	(VI) \(2.0\)

Choose the correct answer from the options given below:

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