# Pie Chart: Percent Form

#### Overview:

 Topic Included: Formulas, Definitions & Exmaples. Main Topic: Data Interpretation. Data Interpretation Sub-topic: Pie Graph Notes & Questions. Questions for practice: 60 Questions & Answers with Solutions.

#### (2). Percent Form Pie-Charts:

In this type of pie-charts, the data is represented in percent form. Let's understand this with the help of an example given below.

Example: A percent type pie chart is given below. You are required to study the pie chart carefully and answer the questions given.

The GDP of a state in financial years 2010 and 2018 is represented according to different sectors by a pie-chart given below.

The value of GDP in 2010 is $500 billion. The value of GDP in 2018 is$1000 billion. Question (1): Find the GDP value of different sectors in the financial year 2010?

Solution: The GDP value of the Agriculture sector in the financial year 2010, $$= 25 \ \% = \frac{25 \times 500}{100}$$ $$= 125 \ billion$$ The GDP value of the Industry sector in the financial year 2010, $$= 35 \ \% = \frac{35 \times 500}{100}$$ $$= 175 \ billion$$ The GDP value of the Service sector in the financial year 2010, $$= 40 \ \% = \frac{40 \times 500}{100}$$ $$= 200 \ billion$$

Question (2): Find the GDP value of different sectors in the financial year 2018?

Solution: The GDP value of the Agriculture sector in the financial year 2018, $$= 30 \ \% = \frac{30 \times 1000}{100}$$ $$= 300 \ billion$$ The GDP value of the Industry sector in the financial year 2018, $$= 25 \ \% = \frac{25 \times 1000}{100}$$ $$= 250 \ billion$$ The GDP value of the Service sector in the financial year 2018, $$= 45 \ \% = \frac{45 \times 1000}{100}$$ $$= 450 \ billion$$

Question (3): Find the growth rate of the GDP in each sector for the duration 2010 to 2018?

Solution: The value of GDP in each sector has taken from the questions (1) and (2).
The growth rate in the Agriculture sector from $125 billion in 2010 to$300 billion in 2018, $$= \frac{300 - 125}{125} \times 100$$ $$= 140 \ \%$$ The growth rate in the Industry sector from $175 billion in 2010 to$250 billion in 2018, $$= \frac{250 - 175}{175} \times 100$$ $$= 71.4 \ \%$$ The growth rate in the Service sector from $200 billion in 2010 to$450 billion in 2018, $$= \frac{450 - 200}{200} \times 100$$ $$= 125 \ \%$$

Question (4): Find the overall growth rate for the duration 2010 to 2018?

Solution: The overall growth rate in the GDP from $500 billion in 2010 to$1000 billion in 2018, $$= \frac{1000 - 500}{500} \times 100$$ $$= 100 \ \%$$

Question (5): Find the average annual growth rate for the duration 2010 to 2018?

Solution: The average annual growth rate, $$= \frac{1000 - 500}{500} \times \frac{100}{8}$$ $$= 12.5 \ \%$$