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.


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  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%


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

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

    1. 120
    2. 140
    3. 160
    4. 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, $$ = \frac{2000 \times 8}{100} $$ $$ = 160 \ books $$

  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


Answer: (a) 28

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

  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


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