# Line Graph: Exercise-8

#### Overview:

 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.

Percent profit earned by two companies A and B by selling the refrigerator over the years.

1. If the profit earned by company A in the year 2017 was $10,000 then what was the total income of company A in the same year? 1.$30,000
2. $32,000 3.$35,000
4. $38,000 Answer: (a)$30,000

Solution: $$Percentage \ Profit =$$ $$\left[\frac{Profit \ earned}{Total \ investment} \times 100\right]$$

$$Total \ investment =$$ $$\left[\frac{10,000}{50} \times 100\right]$$

$$= 20,000$$

Hence total income $$= 10,000 + 20,000$$ $$= 30,000$$

1. If the amount invested by the two companies in the year 2015 were equal then what was the ratio of the total profit of company A to that of B in the year 2015?

1. 1 : 2
2. 2 : 3
3. 4 : 3
4. 5 : 3

Solution: Let the amount invested by the two companies in the year 2015 = $$x$$ dollars

The profit earned by the company A in the year 2015. $$= \frac{40}{100} \times x$$ $$= \frac{2x}{5} \ dollars$$ The profit earned by the company B in the year 2015. $$= \frac{30}{100} \times x$$ $$= \frac{3x}{10} \ dollars$$ Required ratio $$= \frac{\frac{2x}{5}}{\frac{3x}{10}}$$ $$= \frac{2x}{5} \times \frac{10}{3x}$$ $$= \frac{4}{3}$$ $$= 4 : 3$$

1. If the amount invested by company B in the year 2016 was $12,500 and the income of 2016 is equal to the investment in 2017 then how much profit earned by the company B in the year 2017? 1.$11,250
2. $11,320 3.$11,370
4. $11,410 Answer: (a)$11,250

Solution: The amount invested by company B in 2016.$$= 12,500$$ The profit earned by company B in 2016.

$$Percentage \ Profit =$$ $$\left[\frac{Profit \ earned}{Total \ investment} \times 100\right]$$

$$50 = \left[\frac{Profit \ earned}{12,500} \times 100\right]$$

$$Profit \ earned = 6,250$$

The total income of company B in 2016.$$= 12,500 + 6,250$$ $$= 18,750$$ Hence the profit earned by the company B in the year 2017. $$= \left[\frac{60}{100} \times 18,750\right]$$ $$= 11,250$$

1. If the income of company A in 2017 and 2018 were equal, and the amount invested in 2017 was $12,200 then what was the amount invested in 2018? 1.$11,221.5
2. $11,437.5 3.$11,532.5
4. $11,642.5 Answer: (b)$11,437.5

Solution: The amount invested by company A in 2017 = $$12,200$$

Total income of company A in 2017 = $$12,200 + Profit \ earned$$

$$= 12,200 + \frac{50}{100} \times 12,200$$

$$= 12,200 + 6,100$$

$$= 18,300$$

The amount invested by company A in 2018.$$= \left[\frac{100}{160} \times 18,300\right]$$ $$= 11,437.5$$

1. If the investment of company B in 2018 and 2019 were equal then what was the difference between the profits earned in two years if the income in 2019 was $18,200? 1.$1011
2. $1020 3.$1022
4. $1024 Answer: (a)$1011

Solution: The investment of company B in 2019.$$= \left[\frac{100}{180} \times 18,200\right]$$ $$= 10,111.12$$ $$\approx 10,111$$ The profit of company B in 2019.$$= 18,200 - 10,111$$ $$= 8,089$$ The profit of company B in 2018.$$= \left[\frac{70}{100} \times 10,111\right]$$ $$= 7,077.7$$ $$\approx 7,078$$ Required difference $$= 8,089 - 7,078$$ $$= 1,011$$