Directions: Study the following pie-chart and the table given below it carefully to answer the following questions.

Percentagewise distribution of Lecturers in six different subjects in a Central university 

 
Ratio of male to female lecturers in the university    
Lecturers Male Female
Computer Science 1 2
Marketing 4 3
Financial Management 6 4
International Marketing 7 4
Accounts 2 3
Tourism 6 2

Total No. of Lecturers = 18650
Important for :
1
What is the difference between the number of male lecturers and female lecturers in the university?
» Explain it
C
Total number of lecturers,

In Accounts =  18650 × 10  = 1865
100

Similarly, in Tourism =  18650 × 16  = 2984
100

In Computer Science =  18650 × 18  = 3357
100

In Marketing =  18650 × 14  = 2611
100

In Financial Management =  18650 × 20  = 3730
100

In International Marketing =  18650 × 22  = 4103
100

Difference between male and female lecturers in the university =

( 1  × 3357 +  1  × 2611 +  2  × 3730 +  3  × 4103 –  1  × 1865 +  4  × 2984 )
3 7 10 11 5 8

= [– 1119 + 373 + 746 + 1119 – 373 + 1492]

= 3730 – 1492 = 2238.
2
The total number of lecturers (both male and females) in Marketing is approximately what per cent of the total number of female lecturers in Accounts and Tourism together?
» Explain it
D
Total number of lecturers,

In Marketing =  18650 × 14  = 2611
100

In Accounts =  18650 × 10  = 1865. So, Female lecturers = 1865 ×  3  = 1119
100 5

Similarly, in Tourism =  18650 × 16  = 2984. So, female lecturers = 2984 ×  2  = 746
100 8

Reqd % =  Total number of lecturers in Marketing × 100
Total number of female lecturers (Accounts + Tourism)

2611  × 100 =  2611 × 100  = 140%
1119 + 746 1865
3
The total number of male lecturers in Marketing, Accounts and Tourism is approximately what per cent of the female lecturers from Computer Science, Financial Management and International Marketing?
» Explain it
C
Total number of lecturers,

In Marketing =  18650 × 14  = 2611. So, male lecturers = 2611 ×  4  = 1492
100 7

In Accounts = 18650 × 10 = 1865. So, male lecturers = 1865 ×  2 = 746
100 5

In Tourism =  18650 × 16  = 2984. So, male lecturers = 2984 ×  6 = 2238
100 8
Similarly,
In Computer Science =  18650 × 18  = 3357.
100
 So, female lecturers = 3357 ×  2  = 2238
3

In Financial Management =  18650 × 20  = 3730.
100
 So, female lecturers = 3730 ×  4  = 1492
10

In International Marketing =  18650 × 22  = 4103.
100
 So, female lecturers = 4103 ×  4  = 1492
11

Reqd % =  Male lecturers (Marketing + Accounts + Tourism) × 100
Female Lecturers (Computer Science + Financial Management + International Marketing)

1492 + 746 + 2238  × 100 =  4476  × 100 = 85.71 ≈ 86%
2238 + 1492 + 1492 5222

4
What is the ratio of the number of female lecturers from Tourism and Accounts to that of male lecturers in Financial Management and Computer Science?
» Explain it
E
Req ratio =  Female lecturers (Tourism + Accounts)  
Male lecturers (Financial Mgt + Computer)

=  
2984 ×  2  +  1865 × 3
8 5
3730 × 6  +  1  × 3357
10 3

746 + 1119  =  1865  =  5  = 5 : 9
2238 + 1119 3357 9
5
If the total number of lecturers is reduced by 50% then what is the total number of male lecturers in Marketing, International marketing and Tourism together?
» Explain it
E
After reducing 50% of 18650 (total no.) lecturers = 9325.

Total number of male lecturers in Marketing, International Marketing and Tourism

[ 4  ×  14  × 9325 +  7  ×  22  × 9325 +  6  ×  16  × 9325 ]
7 100 11 100 8 100

9325 [ 4  × 14 +  7  × 22 +  6  × 10 ]
100 7 11 8

9325  × (8 + 14 + 12) =  9325 × 34  = 3170.5 ≈ 3171.
100 100