Study the given bar-graph and answer the question that follows.

The bar-graph shows the production of refrigerators (in thousand) by five different companies A, B, C, D and E during 2004 to 2007.

What is the ratio of the average production of the refrigerators by companies A, B and E taken together for the year 2004-2005 to the average production of the refrigerators by companies C and D taken together for the year 2005-2006?

Correct Answer: 19:43

From the given bar graph, let us extract the required production values of refrigerators (in thousands):

1. Production of refrigerators by companies A, B, and E for the year 2004-2005 (represented by the blue bars):

Production by Company A (2004-2005) = 110

Production by Company B (2004-2005) = 160

Production by Company E (2004-2005) = 300

Total production by companies A, B, and E in 2004-2005:

$\text{Total}=110+160+300=570$

Average production by companies A, B, and E in 2004-2005:

${\text{Average}}_1=\frac{570}{3}=190$

2. Production of refrigerators by companies C and D for the year 2005-2006 (represented by the orange bars):

Production by Company C (2005-2006) = 370

Production by Company D (2005-2006) = 490

Total production by companies C and D in 2005-2006:

$\text{Total}=370+490=860$

Average production by companies C and D in 2005-2006:

${\text{Average}}_2=\frac{860}{2}=430$

3. Finding the required ratio:

The ratio of the average production of companies A, B, and E (2004-2005) to the average production of companies C and D (2005-2006) is:

$\text{Ratio}=\frac{190}{430}=\frac{19}{43}=19:43$

Thus, the required ratio is 19:43.