Question : Study the pie chart and answer the question.
Distribution (degree-wise) of the number of employees of a company working in 5 departments A, B, C, D, and E.
Total number of employees = 3200
If the ratio of male employees and female employees working in department D is 4 : 5 and that in department E is 9 : 11, then what is the ratio of the total male employees in D and E to the number of employees in B?
Option 1: 31 : 32
Option 2: 25 : 32
Option 3: 7 : 8
Option 4: 15 : 16
Correct Answer: 25 : 32
Solution :
Given: The ratio of male employees and female employees working in department D = 4 : 5
In the department, E is 9 : 11
Number of male employees in department D $=64.8^\circ \times \frac{4}{9} = 28.8^\circ$
Number of male employees in department E $=36^\circ \times \frac{9}{20} = 16.2^\circ$
Total male employees in departments D and E $=28.8^\circ + 16.2^\circ = 45^\circ$
Total number of employees in department B $=57.6^\circ$
Required ratio = $45^\circ : 57.6^\circ$ = 25 : 32
Hence, the correct answer is 25 : 32.
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