# Pie Chart: Exercise-3

#### Overview:

 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. 1. 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.

1. 50%
2. 80%
3. 90%
4. 100%

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, $$= \frac{600 - 120}{600} \times 100$$ $$= 80 \ \%$$

1. What is the difference between the number of books sold by seller A and C?

1. 120
2. 140
3. 160
4. 180

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

1. What is the central angle corresponding to the number of books sold by seller A?

1. $$52^{o}$$
2. $$65^{o}$$
3. $$70^{o}$$
4. $$72^{o}$$

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

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

1. 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?

1. 28
2. 30
3. 32
4. 35

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

1. 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?

1. 3:2
2. 7:5
3. 5:3
4. 7:9

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, $$= 140 : 100$$ $$= 7 : 5$$