CUET · MATHS · PYQ PAPER 2025

A motorbike costing Rs. 1, 25, 000 has a scrap value of Rs. 25, 000.
If the annual depreciation charge is Rs. 12, 500, then the useful life of the bike is (by using linear method):

A 7 years
B 8 years
C 9 years
D 10 years

Verified Solution

Answer & Solution

Correct Answer

(B) 8 years

Step-by-step Solution

Detailed explanation

\( \text{Total Depreciation} = \text{Cost} - \text{Scrap Value} = 1,25,000 - 25,000 = 1,00,000 \) \( \text{Useful life} = \frac{\text{Total Depreciation}}{\text{Annual Depreciation}} = \frac{1,00,000}{12,500} = 8 \text{ years} \)

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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A motorbike costing Rs. 1, 25, 000 has a scrap value of Rs. 25, 000.If the annual depreciation charge is Rs. 12, 500, then the useful life of the bike is (by using linear method):

Step-by-step Solution

A motorbike costing Rs. 1, 25, 000 has a scrap value of Rs. 25, 000.
If the annual depreciation charge is Rs. 12, 500, then the useful life of the bike is (by using linear method):