Study the following line graph carefully and answer the questions given below:

Production (in tonnes) and Sales (in tonnes) of Company A from 2006 to 2011

2622021596_line graph 9.JPG

The table given below represents the ratio of the production (in tonnes) of Company A to-the production (in tonnes) of Company B and ratio of sales of Company A and Company B.

 

Year

Production (A : B)

Sales (A : B)

2006

5:4

2:3

2007

8:7

11:12

2008

3:4

9:14

2009

11:12

4:5

2010

14: 13

10:9

2011

13 :14

1:1

 
1)

What is the average production of Company B (in tonnes) from the year 2006 to the year 2011?


A) 574

B) 649

C) 675

D) 593

E) 618

Answer:

Option C

Explanation:

Average production of Company B from 2006 to 2011

= $\frac{1}{6}\times\left(\frac{4}{5}\times750\right)$
$+\left(\frac{7}{8}\times800\right)+\left(\frac{4}{3}\times600\right)+$
$\left(\frac{12}{11}\times550\right)+\left(\frac{13}{14}\times700\right)+$
$\left(\frac{14}{13}\times650\right)$ 
= $\frac{1}{6}\times\left[600+700 +800 + 600 + 650 + 700\right]$ tonnes
= 675 tonnes