   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