Pie Chart: Angular Form



Note: Before solving the data interpretation questions, you need to learn some useful topics as Percentage, Ratio and Proportion, Average, Profit and Loss. To learn these topics please go to Quantitative Aptitude section.


There are two types of Pie-Chart.


(1). Angular Form Pie-Charts.


(2). Percent Form Pie-Charts.



(1). Angular Form Pie-Charts. In this type of pie-charts, the data is represented in angular form. Let's understand this with the help of an example given below.


Example: A pie chart is given below, You are require to study the pie chart carefully and answer the questions given below.


The number of employees in a company are 1080, represented in angular form.


image

Question (1): Find the employees in section P is how many percent more than that in section S?


Solution: employees in section P, \(= 90^{o}\)

employees in section S, \(= 75^{o}\)

Now, the required percentage, $$ = \frac{90 - 75}{75} \times 100 $$ $$ = \frac{15}{75} \times 100 $$ $$ = 20 \ \% $$


Question (2): Find the number of employees in section R is how many times more than that in section S?


Solution: employees in section R, \(= 110^{o}\)

employees in section S, \(= 75^{o}\)

Now, $$ = \frac{110}{75} = 1.46 \ Times $$


Question (3): Find the percent of employees in each section?


Solution: Conversion of angular form to percent form. $$ 360^{o} = 100 \ \% $$ $$ 1^{o} = \frac{100}{360} \ \% $$ Now, the percent of employees in section P, $$ = 90^{o} = \frac{90 \times 100}{360} $$ $$ = \frac{100}{4} = 25 \ \% $$ The percent of employees in section Q, $$ = 85^{o} = \frac{85 \times 100}{360} $$ $$ = \frac{425}{18} = 23.61 \ \% $$ The percent of employees in section R, $$ = 110^{o} = \frac{110 \times 100}{360} $$ $$ = \frac{275}{9} = 30.5 \ \% $$ The percent of employees in section S, $$ = 75^{o} = \frac{75 \times 100}{360} $$ $$ = \frac{375}{18} = 20.83 \ \% $$


Question (4): Find the number of employees in each section?


Solution: Conversion of percent form to angular form. $$ 360^{o} = 1080 \ employees $$ $$ 1^{o} = \frac{1000}{360} $$ $$ = 3 \ employees $$ Now, the number of employees in section P, $$ = 90^{o} = 90 \times 3 $$ $$ = 270 \ employees $$ The number of employees in section Q, $$ = 85^{o} = 85 \times 3 $$ $$ = 255 \ employees $$ The number of employees in section R, $$ = 110^{o} = 110 \times 3 $$ $$ = 330 \ employees $$ The number of employees in section S, $$ = 75^{o} = 75 \times 3 $$ $$ = 225 \ employees $$


Question (5): Find the difference between employees in section R and P is how many times the difference between employees in section Q and S?


Solution: The angular difference between employees in section R and P, $$ = 110 - 90 = 20^{o} $$ The angular difference between employees in section Q and S, $$ = 85 - 75 = 10^{o} $$ Now, the required value, $$ = \frac{20}{10} = 2 \ Times $$




Pie Chart

Angular Form

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