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Data Interpretation MCQ Questions and Answers - Line Chart

Learn Line Chart Data Interpretation mcq question and answers with easy and logical explanations Page-7 section-1

Directions (1 - 5): Study the following graph and answer the questions that follow:
Production (in tonnes) and Sales (in tonnes) of Company A from 2006 to 2011.
direction image of Line Chart chapter
The table given below represents the ratio of the production (in tonnes) of Company A to the production (in tonnes) of Company B and the 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
The sales of Company A in the year 2009 was approximately what percent of its production in the same year?
Discuss
Answer & Solution
$$\eqalign{ & \text{Required %} \cr & = \left(\frac{400}{550}\times100\right)\% \cr & = \frac{800}{11}\% \cr & = 72.7\% \cr & \approx 73\% \cr} $$
2
What is the ratio of production of Company B in the year 2006 to production of Company B in the year 2008?
Discuss
Answer & Solution
Production of Company B in 2006
= $$\left(\frac{4}{5}\text{ of } 750\right) \text{tonnes}$$
= 600 tonnes
Production of Company B in 2008
= $$\left(\frac{4}{3}\text{ of } 600\right) \text{tonnes}$$
= 800 tonnes
∴ Required ratio
= 600 : 800
= 3 : 4
3
What is the average production of company B (in tonnes) from the year 2006 to the year 2011?
Discuss
Answer & Solution
Average production of company B from 2006 to 2011
$$=\frac{1}{6}\times \left[ \left(\frac{4}{5}\times750\right) + \left(\frac{7}{8}\times800\right) + \left(\frac{4}{3}\times600\right) + \left(\frac{12}{11}\times550\right) + \left(\frac{13}{14}\times700\right) + \left(\frac{14}{13}\times650\right) \right] \text{tonnes}$$
= $$\frac{1}{6}$$ (600 + 700 + 800 + 600 + 650 + 700) tonnes
= $$\frac{4050}{6}$$ tonnes
= 675 tonnes
4
What is the approximate percentage increase in the production of Company A from 2009 to 2010?
Discuss
Answer & Solution
Percentage increase in production of A from 2009 to 2010
$$\eqalign{ & = \left(\frac{700-550}{550}\times100\right)\% \cr & = \left(\frac{150}{550}\times100\right)\% \cr & = \frac{300}{11}\% \cr & = 27.2\% \cr & \approx 27\% \cr} $$
5
What is the ratio of the total production of Company A to the total sales of Company A?
Discuss
Answer & Solution
Total production of Company A
= (750 + 800 + 600 + 550 + 700 + 650) tonnes
= 4050 tonnes
Total sales of Company A
= (300 + 550 + 450 + 400 + 500 + 550) tonnes
= 2750 tonnes
∴ Required ratio
= 4050 : 2750
= 81 : 55