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Question

In _____ method depreciation amount per year for a machine is calculated by subtracting scrap value of machine from its original value and divide the remaining by number of years of useful life

The correct answer is

Straight line method

Straight Line Method: Understanding Asset Depreciation

Understanding how the value of an asset decreases over time is fundamental in accounting. This decrease in value is known as depreciation. Businesses employ various methods to systematically spread the cost of an asset over its estimated useful life. The question specifically outlines a method where the annual depreciation is determined by subtracting the asset's estimated scrap value from its original cost and then dividing the resulting amount by the number of years the asset is expected to be useful.

Depreciation: Key Concepts

Depreciation is an accounting technique used to allocate the cost of a tangible asset over its useful economic life. Rather than recording the entire cost of an asset as an expense in the year it's purchased, depreciation allows companies to match the expense of using the asset with the revenue it helps generate over multiple accounting periods. This provides a more accurate view of a company's profitability and asset value.

Straight Line Method: Detailed Calculation

The method precisely described in the question is the Straight Line Method of depreciation. It is one of the simplest and most widely used depreciation methods because of its ease of calculation and uniform expense recognition. This method assumes that an asset loses an equal amount of value each year throughout its entire useful life.

The formula for calculating the annual depreciation using the Straight Line Method is as follows:

$$\text{Annual Depreciation} = \frac{\text{Original Cost of Asset} - \text{Scrap Value}}{\text{Estimated Useful Life (in years)}}$$

  • Original Cost of Asset: This represents the total cost incurred to acquire and prepare the asset for its intended use. This can include the purchase price, shipping costs, installation charges, and any other costs necessary to get the asset ready for operation.
  • Scrap Value (also known as Residual Value or Salvage Value): This is the estimated selling price or value of the asset at the end of its useful life. It's the amount the company expects to recover from disposing of the asset.
  • Estimated Useful Life: This is the period, typically expressed in years, over which an asset is expected to be productive and provide economic benefits to the business.

For example, if a machine was purchased for $120,000, has an estimated scrap value of $20,000, and an estimated useful life of 10 years, the annual depreciation would be calculated as:

$$\text{Annual Depreciation} = \frac{\$120,000 - \$20,000}{10 \text{ years}} = \frac{\$100,000}{10 \text{ years}} = \$10,000 \text{ per year}$$

This means that $10,000 would be recorded as depreciation expense for this machine each year for 10 years.

Comparing Depreciation Methods: Why Straight Line is Correct

Let's compare the Straight Line Method with the other options provided to understand why it uniquely fits the description in the question:

Method Method of Calculation Why it Matches/Doesn't Match the Question
Straight Line Method Depreciable amount (Original Cost - Scrap Value) is divided by the useful life to get a constant annual depreciation. This perfectly matches the calculation described in the question, where scrap value is subtracted from the original value and then divided by the useful life.
Diminishing Balance Method Applies a fixed depreciation rate to the asset's book value (cost minus accumulated depreciation) at the beginning of each year. This results in higher depreciation charges in the early years and progressively lower charges in later years. This method does not use the specific calculation of subtracting scrap value from original cost and dividing by useful life to determine annual depreciation.
Sinking Fund Method This method aims to accumulate enough funds to replace the asset at the end of its useful life. It involves setting aside equal amounts periodically into a fund that earns interest, and the depreciation charge is based on the amount required in the fund. This method involves interest calculations and the creation of a fund, which is not part of the straightforward calculation mentioned in the question.
Annuity Charging Method This method considers the interest on the capital invested in the asset. The annual depreciation charge is a constant amount, which includes both the actual depreciation and an interest component on the diminishing balance of the asset. Similar to the sinking fund method, this method incorporates an interest factor that is not part of the simple calculation provided in the question.

Therefore, based on the clear description of the calculation provided in the question, the Straight Line Method is the only one that involves subtracting the scrap value from the original value and dividing the result by the number of years of useful life to determine the annual depreciation amount.

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Important Questions from Operations Research

  1. Arrange the operations in production planning and control in correct sequence :

    (i) Routing

    (ii) Dispatching

    (iii) Follow up

    (iv) Scheduling

    Choose the correct answer from the code given below:

  2. The following statements relate to decision tree analysis. Choose the correct code for the statements being correct or incorrect.

    Statement I: A decision tree contains the probabilities of outcomes and the conditional monetary values attached to those outcomes.

    Statement II : In a decision tree, 'nodes' at the left represent actions that occur before nodes that fall farther to the right.

  3. As per the colour code a red colour indicates

  4. Analysis is an operation, when carried out in terms of individual motions of a worker is known as

  5. Match List - I with List - II.

    List - I

    Inspection Process

    List - II

    Inspection Type

    (A)

    Operator doing his job properly and self check at the point of production or purchase.

    I)

    Poka-Yoke

    (B)

    That classifies items as being either good or defective.

    (II)

    Source Inspection

    (C)

    Assisted by the use of check list and controls such as fail - safe device that ensures production of a good unit every time.

    (III)

    Variable Inspection

    (D)

    Classification of items as falling continuum scale such as dimension or strength

    (IV)

    Attribute Inspection

    Choose the correct answer from the options given below:

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