Class 12 CBSE Applied Maths Return, Growth & Depreciation Exercise 14.4

Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.


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Q1. The cost of a mobile phone is Rs 9000. Its value depreciates at the rate of 5% p.a. Find the total depreciation in its value at the end of 2 years.

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Q2. Dinesh purchases a washing machine for ₹24000. The value of machine is depreciating at the rate of 5% p.a. Calculate its value after 3 years

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Q3. Rahul purchased an old scooter for ₹16000. If the cost of the scooter after 2 years depreciates to ₹14440, find the rate of depreciation.

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Q4. The cost of a car purchased 2 years ago, depreciates at the rate of 20% every year. If its present worth is Rs 315600, find:
(i) its purchase price
(ii) its value after 3 years

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Q5. A machine costing Rs 50000 depreciates at a constant rate of 8% p.a. If the estimated useful life of the machine is 10 years, determine its scrap value (Use log table).

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Q6. The cost of a machine depreciating by ₹722 during the third year and by ₹685.90 during the fourth year. Calculate
(i) the rate of depreciation per annum.
(ii) the original cost of the machine.
(iii) the scrap value of the machine, if the estimated useful life is 20 years. (Use log tables)

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Q7. 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.

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