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

Main Topic: | Data Interpretation. |

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

Number of Questions: | 5 Questions with Solutions. |

**Directions:** Study the following pie-chart carefully to answer the questions given below.

Percentage of books sold by five sellers in the year 2016.

**Total number of books sold by sellers are 2000.**

- The average number of books sold by seller E in the years 2016 and 2017 was 360. By what percent is the number of books sold by seller E in 2017 less than that sold by the same seller in 2016.
- 50%
- 80%
- 90%
- 100%

Answer: (b) 80%

Solution: Total number of books sold by seller E in 2016, $$ = \frac{2000 \times 30}{100} $$ $$ = 600 $$ Total number of books sold by seller E in 2017, $$ = 2 \times 360 - 600 $$ $$ = 720 - 600 = 120 $$ Required percentage, $$ = \frac{600 - 120}{600} \times 100 $$ $$ = 80 \ \% $$

Solution: Total number of books sold by seller E in 2016, $$ = \frac{2000 \times 30}{100} $$ $$ = 600 $$ Total number of books sold by seller E in 2017, $$ = 2 \times 360 - 600 $$ $$ = 720 - 600 = 120 $$ Required percentage, $$ = \frac{600 - 120}{600} \times 100 $$ $$ = 80 \ \% $$

- What is the difference between the number of books sold by seller A and C?
- 120
- 140
- 160
- 180

Answer: (c) 160

Solution: percentage difference between the number of books sold by seller A and C, $$ = 20 - 12 = 8 \ \% $$ now the required difference, $$ = \frac{2000 \times 8}{100} $$ $$ = 160 \ books $$

Solution: percentage difference between the number of books sold by seller A and C, $$ = 20 - 12 = 8 \ \% $$ now the required difference, $$ = \frac{2000 \times 8}{100} $$ $$ = 160 \ books $$

- What is the central angle corresponding to the number of books sold by seller A?
- \(52^{o}\)
- \(65^{o}\)
- \(70^{o}\)
- \(72^{o}\)

Answer: (d) \(72^{o}\)

Solution: 20% of the whole angle, $$ = \frac{20 \times 360}{100} $$ $$ = 72^{o} $$

Solution: 20% of the whole angle, $$ = \frac{20 \times 360}{100} $$ $$ = 72^{o} $$

- The number of books sold by seller A in 2017 is 10% more than that in 2016 and 30% less in 2018 than that in 2017. What was the number of books sold by seller A in 2018?
- 28
- 30
- 32
- 35

Answer: (a) 28

Solution: Total number of books sold by seller A in the year 2018, $$ = 2000 \times \frac{20}{100} \times \frac{10}{100} \times \frac{70}{100} $$ $$ = 28 \ books $$

Solution: Total number of books sold by seller A in the year 2018, $$ = 2000 \times \frac{20}{100} \times \frac{10}{100} \times \frac{70}{100} $$ $$ = 28 \ books $$

- Seller C sells only two types of books, History and Geography. It sells a total of 140 History books. What is the respective ratio between the number of History and Geography books sold by seller C?
- 3:2
- 7:5
- 5:3
- 7:9

Answer: (b) 7:5

Solution: Total books sold by seller C, $$ = \frac{2000 \times 12}{100} $$ $$ = 240 $$ number of History books sold by seller C, $$ = 140 $$ number of Geography books sold by seller C, $$ = 240 - 140 = 100 $$ Required ratio, $$ = 140 : 100 $$ $$ = 7 : 5 $$

Solution: Total books sold by seller C, $$ = \frac{2000 \times 12}{100} $$ $$ = 240 $$ number of History books sold by seller C, $$ = 140 $$ number of Geography books sold by seller C, $$ = 240 - 140 = 100 $$ Required ratio, $$ = 140 : 100 $$ $$ = 7 : 5 $$