# Line Graph: Exercise-4

#### 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 the two companies over the years.

1. If the profit earned in 2015 by the company Q was $10,000, what was the total income of the company in that year? 1.$22500
2. $20500 3.$18500
4. #16500

Answer: (a) $22500 Solution: Total investment of the company Q in the year 2015, $$= \frac{Profit \ earned}{Percent \ profit} \times 100$$ $$= \frac{10000}{80} \times 100$$ $$= 12500$$ Hence the total income, $$= 12500 + 10000$$ $$= 22500$$ 1. If the amount invested by the both companies in the year 2016 was equal, what was the ratio between total income of the companies P and Q in the year 2016? 1. 15:16 2. 16:17 3. 17:16 4. 16:15 Answer: (c) 17:16 Solution: Let the profit earned by the companies P and Q were X and Y respectvely, and total investment by the companies in the year was K, then Profit earned by the company P in the year 2016, $$X = \frac{Percent \ profit \times Investment}{100}$$ $$X = \frac{70 \ K}{100}$$ Now the profit earned by the company Q in the year 2016, $$Y = \frac{Percent \ profit \times Investment}{100}$$ $$Y = \frac{60 \ K}{100}$$ Hence the ratio between total income of the companies P and Q in the year 2016, $$= \frac{70 \ K}{100} + K : \frac{60 \ K}{100} + K$$ $$= 170 \ K : 160 \ K$$ $$= 17 : 16$$ 1. If the amount of profit earned by the company P in the year 2017 was$15,000, what was the total investment of the company in that year?

1. $18,750 2.$20,550
3. $21,850 4.$24,350

Answer: (a) $18,750 Solution: Total investment of the company P in the year 2017, $$= \frac{Profit \ earned}{Percent \ profit} \times 100$$ $$= \frac{15000}{80} \times 100$$ $$= 18,750$$ 1. If the amount invested by the companies P and Q in the year 2014 were$8,000 and $10,000 respectively, what was the total profit earned by the two companies together? 1.$10,000
2. $11,000 3.$12,000
4. $13,000 Answer: (b)$11,000

Solution: Profit earned by the company P in the year 2014, $$= \frac{Percent \ profit \times Investment}{100}$$ $$= \frac{50 \times 8000}{100}$$ $$= 4,000$$ Profit earned by the company Q in the year 2014, $$= \frac{Percent \ profit \times Investment}{100}$$ $$= \frac{70 \times 10000}{100}$$ $$= 7,000$$ Hence total profit earned by both the companies together in the year 2014, $$= 4000 + 7000$$ $$= 11,000$$

1. If the amount invested by the company Q in the year 2012 was $20,000, what was the total income of the company in that year? 1.$10,000
2. $20,000 3.$30,000
4. $40,000 Answer: (c)$30,000

Solution: Profit earned by the company Q in the year 2012, $$= \frac{Percent \ profit \times Investment}{100}$$ $$= \frac{50 \times 20000}{100}$$ $$= 10,000$$ Hence total income, $$= 10000 + 20000$$ $$= 30,000$$