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.**

- If the profit earned in 2015 by the company Q was $10,000, what was the total income of the company in that year?
- $22500
- $20500
- $18500
- #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, $$ = 12500 + 10000 $$ $$ = $22500 $$

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, $$ = 12500 + 10000 $$ $$ = $22500 $$

- 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?
- 15:16
- 16:17
- 17:16
- 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, $$ = \frac{70 \ K}{100} + K : \frac{60 \ K}{100} + K $$ $$ = 170 \ K : 160 \ K $$ $$ = 17 : 16 $$

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, $$ = \frac{70 \ K}{100} + K : \frac{60 \ K}{100} + K $$ $$ = 170 \ K : 160 \ K $$ $$ = 17 : 16 $$

- 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?
- $18,750
- $20,550
- $21,850
- $24,350

Answer: (a) $18,750

Solution: Total investment of the company P in the year 2017, $$ = \frac{Profit \ earned}{Percent \ profit} \times 100 $$ $$ = \frac{15000}{80} \times 100 $$ $$ = $18,750 $$

Solution: Total investment of the company P in the year 2017, $$ = \frac{Profit \ earned}{Percent \ profit} \times 100 $$ $$ = \frac{15000}{80} \times 100 $$ $$ = $18,750 $$

- 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?
- $10,000
- $11,000
- $12,000
- $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, $$ = 4000 + 7000 $$ $$ = $11,000 $$

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, $$ = 4000 + 7000 $$ $$ = $11,000 $$

- 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?
- $10,000
- $20,000
- $30,000
- $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, $$ = 10000 + 20000 $$ $$ = $30,000 $$

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, $$ = 10000 + 20000 $$ $$ = $30,000 $$