Two renowned international Software companies, namely Pollaris and Contigent, started their business in the year 2007 and both the companies were in competition with each other in profit making. Pollaris earned 30 per cent profit in the year 2007 and 2008, and further increased it to 40 per cent in 2009. However, its profit percentage decreased to 20 per cent in the year 2010. On the other hand, Contigent opened with 40 per cent profit in 2007, but slowly decreased to 35 per cent in 2008 and 30 per cent in 2009. Interestingly, both the companies increased their profit percentage in the later year considerably. Pollaris increased its profit percentage to 35 per cent in 2011 and 50 per cent in 2012; simultaneously, Contigent increased its profit percentage to 45 per cent in 2010, 50 per cent in 2011 and reached 60 per cent in the year 2012.
As there is a need to understand the income and expenditure for the better performance of both companies in the future, answer the following questions.

What is the difference between the company with highest annual average profit percentage and that of the company with lowest annual average profit percentage?

The correct option is 9.17.

To find the difference between the highest annual average profit percentage and the lowest annual average profit percentage between the two companies over the 6-year period (2007 to 2012), let us calculate the average profit percentage for each company step-by-step.

Step 1: Calculate the annual average profit percentage of Pollaris

The profit percentages for Pollaris from 2007 to 2012 are:

2007: 30%
2008: 30%
2009: 40%
2010: 20%
2011: 35%
2012: 50%

Total profit percentage of Pollaris over 6 years:

$\text{Total (Pollaris)}=30+30+40+20+35+50=205\%$

Annual average profit percentage of Pollaris:

$\text{Average (Pollaris)}=\frac{205}{6}\approx 34.1667\%$

Step 2: Calculate the annual average profit percentage of Contigent

The profit percentages for Contigent from 2007 to 2012 are:

2007: 40%
2008: 35%
2009: 30%
2010: 45%
2011: 50%
2012: 60%

Total profit percentage of Contigent over 6 years:

$\text{Total (Contigent)}=40+35+30+45+50+60=260\%$

Annual average profit percentage of Contigent:

$\text{Average (Contigent)}=\frac{260}{6}\approx 43.3333\%$

Step 3: Calculate the difference between the two averages

$\text{Difference}=\text{Average (Contigent)}-\text{Average (Pollaris)}$

$\text{Difference}=43.3333-34.1667=9.1666\approx 9.17$

Thus, the difference between the highest annual average profit percentage and the lowest annual average profit percentage is 9.17.