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Using the data in Extract B, calculate the average rate of return from purchasing a pair of glasses - Edexcel - A-Level Business - Question 1 - 2019 - Paper 2

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Using the data in Extract B, calculate the average rate of return from purchasing a pair of glasses. You are advised to show your working.

Worked Solution & Example Answer:Using the data in Extract B, calculate the average rate of return from purchasing a pair of glasses - Edexcel - A-Level Business - Question 1 - 2019 - Paper 2

Step 1

Identify the Formula for Average Rate of Return

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Answer

The formula for calculating the average rate of return (ARR) is given by:

[ \text{Average Annual Return} = \frac{\text{Total Return}}{\text{Initial Cost}} \times 100 ]

Step 2

Calculate Total Return

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Answer

The total return is calculated based on the estimated increased earnings per person and the expected life of the glasses:

[ \text{Total Return} = \text{Estimated Increased Earnings} \times \text{Expected Life} ]

Using the values from Extract B:

  • Estimated Increased Earnings: £108
  • Expected Life: 2 years

[ \text{Total Return} = 108 \times 2 = 216 \text{ GBP} ]

Step 3

Calculate Average Annual Return

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Answer

Next, we compute the average annual return by subtracting the initial price from the total return:

[ \text{Average Annual Return} = \text{Total Return} - \text{Initial Cost} ]

Where:

  • Initial Cost: £4

So, [ \text{Average Annual Return} = 216 - 4 = 212 \text{ GBP} ]

Step 4

Calculate Average Rate of Return

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Answer

Now, using the formula provided:

[ \text{ARR} = \frac{212}{4} \times 100 = 5300% ]

Thus, the average rate of return on purchasing the glasses is 5300%.

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