The table below shows the production of three types of cars (A, B and C) manufactured (in thousands) by an automobile company over the years.

| Year | A | B | C |
|------|-----|-----|-----|
| 2012 | 1750| 1880| 1900|
| 2013 | 1800| 2950| 2070|
| 2014 | 2950| 3020| 3150|
| 2015 | 3100| 3240| 3290|

The average number of A-type cars produced by the company during 2012 to 2014 is what percent (rounded off to the 1 decimal place) less than the combined average number of B-type and C-type cars produced by the company from 2013 to 2015?

Question

The table below shows the production of three types of cars (A, B and C) manufactured (in thousands) by an automobile company over the years.

| Year |  A  |  B  |  C  |
|------|-----|-----|-----|
| 2012 | 1750| 1880| 1900|
| 2013 | 1800| 2950| 2070|
| 2014 | 2950| 3020| 3150|
| 2015 | 3100| 3240| 3290|

The average number of A-type cars produced by the company during 2012 to 2014 is what percent (rounded off to the 1 decimal place) less than the combined average number of B-type and C-type cars produced by the company from 2013 to 2015?

Accepted Answer

Step 1: Calculate the average number of A-type cars produced from 2012 to 2014.
- Sum of A-type cars from 2012 to 2014 = 1750 + 1800 + 2950 = 6500 (thousands)
- Average A = 6500 / 3 = 2166.67 (thousands)

Step 2: Calculate the combined average number of B-type and C-type cars produced from 2013 to 2015.
- Sum of B-type cars from 2013 to 2015 = 2950 + 3020 + 3240 = 9210 (thousands)
- Sum of C-type cars from 2013 to 2015 = 2070 + 3150 + 3290 = 8510 (thousands)
- Combined sum = 9210 + 8510 = 17720 (thousands)
- Number of data points = 3 years * 2 types = 6
- Combined average = 17720 / 6 = 2953.33 (thousands)

Step 3: Calculate the percentage by which average A is less than combined average.
- Difference = 2953.33 - 2166.67 = 786.66
- Percentage less = (786.66 / 2953.33) * 100 ≈ 26.6%

Therefore, the average number of A-type cars produced during 2012 to 2014 is approximately 26.6% less than the combined average number of B-type and C-type cars produced from 2013 to 2015.

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