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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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Question 1

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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 calculating Average Rate of Return

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Answer

The formula for calculating the Average Rate of Return (ARR) is given by:

ARR=Average Annual ReturnInitial Cost×100ARR = \frac{\text{Average Annual Return}}{\text{Initial Cost}} \times 100

Step 2

Calculate Total Return

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Answer

The total return is calculated by multiplying the estimated increased earnings per person per year by the expected life of the glasses:

Total Return=Estimated Increased Earnings×Expected Life=£108×2=£216\text{Total Return} = \text{Estimated Increased Earnings} \times \text{Expected Life} = £108 \times 2 = £216

Step 3

Calculate Average Annual Return

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Answer

The average annual return can be computed by dividing the total return by the expected life:

Average Annual Return=Total ReturnExpected Life=£2162=£108\text{Average Annual Return} = \frac{\text{Total Return}}{\text{Expected Life}} = \frac{£216}{2} = £108

Step 4

Final Calculation of ARR

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Answer

Now substituting the values into the ARR formula:

ARR=£108£4×100=2700%ARR = \frac{£108}{£4} \times 100 = 2700\%

This indicates that the purchase of a pair of VisionSpring glasses yields a very high average rate of return.

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