Study the following pie-chart and answer
the questions given below:

Preferences of students among six
beverages in terms of degree of angle in the pie-chart

1. The number of students who prefer Beverage C are approximately what
percent of the number of students who prefer Beverage D?

Solution :

The number of students who prefer Beverage
C are 14.4

^{0}.
The number of students who prefer Beverage
D are 122.4

^{0}.
Therefore the required percentage is

__14.4__= 11.765 %^{0 }x 100^{ }
122.4

^{0}
Approximately
equal to 12%.

2. How many students prefer Beverage B and Beverage E together?

Solution:

Given the
total number of students = 6800

The angle
made be Beverage B =57.6

^{0}
The angle
made be Beverage E =64.8

^{0}
Therefore
required percentage = (

__57.6__^{0 }+ 64.8^{0}) x 6800
360

^{0}
=
2312.

3. What is the difference between the total number of students who
prefer Beverage A and C together and the total number of students who prefer
Beverage D and F together?

Solution:

Given the total number of students = 6800

The total number of students who prefer Beverage A and C are

79.2

^{0 }+ 14.4^{0}
The total number of students who prefer Beverage D and F are

122.4

^{0 }+ 21.6^{0}
Therefore the required percentage =

__(79.2__= 952.

^{0}+ 14.4^{0}) – (122.4^{0}+21.6^{0}) x 6800
360

^{0}
4. The number of students who prefer Beverage E and F together are what
percent of the total number of students?

Solution:

The number
of students who prefer Beverage E are 64.8

^{0}.
The number
of students who prefer Beverage D are 21.6

^{0}.
Therefore required percentage is (

__64.8__x 100%^{0}+ 21.6^{0})
360

^{0}
=24%

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