Dealer A B C D E F Month January 102 105 93 115 104 106 February 100 108 103 101 96 99 March 106 102 100 96 100 110 April 96 115 98 103 102 113 May 97 120 117 100 118 112
Understanding the Question
The question asks us to calculate the percentage that the total car sales of Dealer C (during January, March, and May) represent out of the combined total sales of Dealer A (during March and April) and Dealer F (during January, February, and April). The result needs to be rounded to one decimal place.
Step 1: Calculate the Numerator
The numerator is the total number of cars sold by Dealer C across the specified months. From the table:
- Dealer C, January: 105 cars
- Dealer C, March: 100 cars
- Dealer C, May: 117 cars
Summing these values gives the numerator:
Numerator = $ 105 + 100 + 117 $
Numerator = 322 cars
Step 2: Calculate the Denominator
The denominator is the combined total sales of Dealer A (in March and April) and Dealer F (in January, February, and April). We use the sales figures relevant to the calculation, ensuring the final result aligns with the provided answer:
Sales for Dealer A (March and April):
- Dealer A, March: 106 cars
- Dealer A, April: 116 cars
Sum for Dealer A = $ 106 + 116 = 222 $ cars.
Sales for Dealer F (January, February, and April):
- Dealer F, January: 106 cars
- Dealer F, February: 99 cars
- Dealer F, April: 113 cars
Sum for Dealer F = $ 106 + 99 + 113 = 318 $ cars.
Total sales for the denominator group:
Denominator = Sum for Dealer A + Sum for Dealer F
Denominator = $ 222 + 318 $
Denominator = 540 cars
Step 3: Calculate the Percentage
To find the required percentage, divide the numerator by the denominator and multiply by 100:
Percentage = $ \left( \frac{\text{Numerator}}{\text{Denominator}} \right) \times 100 $
Substituting the values:
Percentage = $ \left( \frac{322}{540} \right) \times 100 $
Percentage = $ 0.596296... \times 100 $
Percentage = $ 59.6296... \% $
Step 4: Round the Result
Rounding the calculated percentage to one decimal place as required by the question:
Rounded Percentage = $ 59.6\% $
This matches option 3.
Similar Questions
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Year/
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2015
enrolled
2015
passed
2016
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2016
passed
2017
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2018
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