Questions and Answers Type: | MCQ (Multiple Choice Questions). |

Main Topic: | Data Interpretation. |

Data Interpretation Sub-topic: | Line Graph Questions and Answers. |

Number of Questions: | 5 Questions with Solutions. |

**Directions:** Study the following graph carefully and answer the questions given below it.

**The Production and sales of a company A from 2015-20 (in tonnes).**

**The ratio of the production and sales of company A and company B are given below.**

- What is the approximate percentage increase in the sales of company A from 2015 to 2017?
- 52 %
- 59 %
- 67 %
- 69 %

Answer: (c) 67 %

Solution: Percentage increase in sales of company A from 2015 to 2017. $$ = \left[\frac{500 - 300}{300} \times 100\right] \ \% $$ $$ = 66.67 \ \% $$ $$ \approx 67 \ \% $$

Solution: Percentage increase in sales of company A from 2015 to 2017. $$ = \left[\frac{500 - 300}{300} \times 100\right] \ \% $$ $$ = 66.67 \ \% $$ $$ \approx 67 \ \% $$

- In the year 2019, the sales of company A, was approximately what percent of its production in the same year?
- 87.5 %
- 81.2 %
- 74.3 %
- 71.1 %

Answer: (a) 87.5 %

Solution: Required percentage. $$ = \left[\frac{700}{800} \times 100\right] \ \% $$ $$ = 87.5 \ \% $$

Solution: Required percentage. $$ = \left[\frac{700}{800} \times 100\right] \ \% $$ $$ = 87.5 \ \% $$

- In the year 2020, the sales of company B, was approximately what percent of its production in the same year?
- 67 %
- 64 %
- 62 %
- 60 %

Answer: (b) 64 %

Solution: The sales of company B in the year 2020. $$ = \left[\frac{5}{8} \times 600\right] $$ $$ = 375 \ Tonnes $$ The production of company B in the year 2020. $$ = \left[\frac{5}{6} \times 700\right] $$ $$ = 583.34 \ Tonnes $$ $$ \approx 583 \ Tonnes $$ Required percentage. $$ = \left[\frac{375}{583} \times 100\right] \ \% $$ $$ = 64.33 \ \% $$ $$ \approx 64 \ \% $$

Solution: The sales of company B in the year 2020. $$ = \left[\frac{5}{8} \times 600\right] $$ $$ = 375 \ Tonnes $$ The production of company B in the year 2020. $$ = \left[\frac{5}{6} \times 700\right] $$ $$ = 583.34 \ Tonnes $$ $$ \approx 583 \ Tonnes $$ Required percentage. $$ = \left[\frac{375}{583} \times 100\right] \ \% $$ $$ = 64.33 \ \% $$ $$ \approx 64 \ \% $$

- What is the ratio of production of company A in the year 2016 to the production of company A in the year 2017?
- 5 : 7
- 4 : 5
- 2 : 3
- 6 : 7

Answer: (d) 6 : 7

Solution: Required ratio. $$ = \frac{600}{700} $$ $$ = 6 : 7 $$

Solution: Required ratio. $$ = \frac{600}{700} $$ $$ = 6 : 7 $$

- What is the ratio of sales of company B in the year 2018 to the sales of company B in the year 2019?
- 15 : 17
- 14 : 15
- 11 : 13
- 12 : 13

Answer: (b) 14 : 15

Solution: The sales of company B in the year 2018. $$ = \left[\frac{4}{5} \times 700\right] $$ $$ = 560 \ Tonnes $$ The sales of company B in the year 2019. $$ = \left[\frac{6}{7} \times 700\right] $$ $$ = 600 \ Tonnes $$ Required ratio. $$ = \frac{560}{600} $$ $$ = 14 : 15 $$

Solution: The sales of company B in the year 2018. $$ = \left[\frac{4}{5} \times 700\right] $$ $$ = 560 \ Tonnes $$ The sales of company B in the year 2019. $$ = \left[\frac{6}{7} \times 700\right] $$ $$ = 600 \ Tonnes $$ Required ratio. $$ = \frac{560}{600} $$ $$ = 14 : 15 $$