Pie - Chart Data Interpretation:
While constructing a pie chart, every component graphed, size of the parts shows the relative size of the categories, use values or percentage or angles to show the relative sizes of various categories.
Let us consider pie - chart as a circle. You can solve pie chart problems using the properties of a circle and the basic concept of percentages.
In a pie chart, these 360 degrees corresponds to the total of the values represented in the chart.
For example, 360 degrees might correspond to a class of 100 students studying in a college.
Therefore 360 degrees = 100 % = 100 students.
Important Points:
Total angle at the center of a pie chart = 3600
To convert x% into angle = (x / 100) × 360
e.g. for 10 %, (10 / 100) × 360 = 360 i.e. 10% forms a 360 angle at the center and vice-versa.
To convert x0 into percentage = (x / 360) ×100
e.g. for 360, (36 / 360) × 100 = 10% i.e. 360 forms a 10% in the pie - chart.
I. Directions: Study the following pie chart carefully and answer the questions given below.
Given below is the pie chart which shows the percentage distribution of the five types of chocolates available in a Chocolate Store.
Percentage Distribution of Chocolates
Total number of chocolates is 900
1. What is the difference between number of Lotus and Amul chocolates sold together and number of Ferrero Rocher and Nestle sold together?
A) 105 B) 110 C) 117 D) 120 E) None of the above
SOLUTION:
Number of Lotus chocolates = 25% of 900 = 25/100 × 900 = 225
Number of Amul chocolates = 22% of 900 = 22/100 × 900 = 198
Total number of Lotus and Amul chocolates = 225 + 198 = 423
Number of Ferrero Rocher chocolates = 16% of 900 = 16/100 × 900 = 144
Number of Nestle chocolates = 18% of 900 =18/100 × 900 = 162
Total number of Ferrero Rocher and Nestle chocolates = 144 + 162 = 306
Required difference = 423 – 306 = 117.
ANSWER: C
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