Balbharati Maharashtra State Board11th Commerce Maths Solution Book PdfChapter 9 Commercial Mathematics Ex 9.4 Questions and Answers.
Maharashtra State Board 11th Commerce Maths Solutions Chapter 9 Commercial Mathematics Ex 9.4
Question 1
Maharashtra Board Solution
Kanchan purchased a Maruti car for ₹ 2,45,000/- and the rate of depreciation is 14% per annum. Find the value of the car after two years?
Solution & Step-by-Step Answer:
Given, purchase price of the car = V = ₹ 2,45,000 Rate of depreciation per annum = r = 14% = % ∴ Value of the car after two years = ∴ The value of the car after two years is ₹ 1,80,000.
Question 2
Maharashtra Board Solution
The value of a machine depreciates from ₹ 32,768 to ₹ 21,952/- in three years. What is the rate of depreciation?
Solution & Step-by-Step Answer:
Given, initial value of machine = V = ₹ 32,768/- Depreciated value of the machine = D.V. = ₹ 21,952/- Numher of years = n = 3 ∴ r = 12.5% ∴ Rate of depreciation is 12.5% per annum.
Question 3
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The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. Its present value is ₹ 2,18,700/-. What was the purchase price of the machine?
Solution & Step-by-Step Answer:
Given, the rate of depreciation per annum = r = 10% Number of years = n = 3 Present value of the machine = P.V. = ₹ 2,18,700/- ∴ Purchase price of the machine ∴ The purchase price of the machine is ₹ 3,00,000.
Question 4
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Mr. Manish purchased a motorcycle at ₹ 70,000/-. After some years he sold his motorcycle at its exact depreciated value of it that is ₹ 51,030/-. The rate of depreciation was taken as 10%. Find out how many years he sold his motorcycle.
Solution & Step-by-Step Answer:
Given, purchase price of the motorcycle = V = ₹ 70,000/- Depreciated value of the motorcycle = D.V. = ₹ 51,030/- ∴ Rate of depreciation = r = 10% ∴ n = 3 ∴ Manish sold his motorcycle after 3 years.
Question 5
Maharashtra Board Solution
Mr. Chetan purchased furniture for his home at ₹ 5,12,000/-. Considering the rate of depreciation as 12.5%, what will be the value of furniture after 3 years.
Solution & Step-by-Step Answer:
Given, purchase price of furniture = V = ₹ 5,12,000/- Rate of depreciation = r = 12.5% Number of years = n = 3 years ∴ Value of furniture after 3 years = = 5,12,000 = 5,12,000 = 5,12,000 = 5,12,000 × = 3,43,000 ∴ The value of furniture will be ₹ 3,43,000/-
Question 6
Maharashtra Board Solution
Grace Fashion Boutique purchased a sewing machine at ₹ 25,000/-. After 3 years machine was sold at depreciated value of ₹ 18,225/-. Find the rate of depreciation.
Solution & Step-by-Step Answer:
Given, purchase price of sewing machine = V = ₹ 25,000/- Selling price of machine = D.V. = ₹ 18,225/- Number of years = n = 3 years ∴ 100 – r = 90 ∴ r = 10% ∴ Rate of depreciation is 10% per annum.
Question 7
Maharashtra Board Solution
Mr. Pritesh reduced the value of his assets by 5% each year, which were purchased for ₹ 50,00,000/-. Find the value of assets after 2 years.
Solution & Step-by-Step Answer:
Given, initial value of assets = V = ₹ 50,00,000/- Rate of depreciation per annum = r = 5% Number of years = n = 2 years ∴ Value of assets aftertwo years = = 12,500 × 361 = 45,12,500 ∴ The value of assets after two years is ₹ 45,12,500/-.
Question 8
Maharashtra Board Solution
A manufacturing company is allowed to charge 10% depreciation on its stock. The initial value of the stock was ₹ 60,000/-. After how many years value of the stock will be ₹ 39366?
Solution & Step-by-Step Answer:
Given, rate of depreciation = r = 10% Initial value of stock = V = ₹ 60,000 Depreciated value of stock = D.V. = ₹ 39,366/- By using, ∴ n = 4 ∴ The value of the stock will be ₹ 39,366/- after 4 years.
