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

Percentage-wise Distribution of lecturers in 6 different subjects in a university total number of lecturers:1600

2322021881_pie chart 11a.JPG

Ratio of male to female lectures

2322021162_pie chart 11b.JPG

 

1)

What is the ratio of the number of female lecturers in Physics to the number of male lecturers in Mathematics?


A) 5:9

B) 2:9

C) 3:7

D) 5:3

E) None of these

Answer:

Option A

Explanation:

Number of lecturers in various subjects are:

Chemistry → $\left(\frac{13}{100}\times1600\right)$ = 208

Education → $\left(\frac{18}{100}\times1600\right)$ = 288

Hindi → $\left(\frac{12}{100}\times1600\right)$ = 192

Mathematics → $\left(\frac{21}{100}\times1600\right)$ = 336

Physics → $\left(\frac{14}{100}\times1600\right)$ = 224

Zoology → $\left(\frac{22}{100}\times1600\right)$ = 352

 

Subjects

Number of Males

Number of Females

Chemistry

$\left(\frac{1}{8}\times208\right)$ = 26

(208-26) = 182

Education

$\left(\frac{5}{8}\times288\right)$ = 180

(288-180) = 108

Hindi

$\left(\frac{1}{4}\times192\right)$ = 48

(192-48) = 144

Mathematics

$\left(\frac{3}{7}\times336\right)$ = 144

(336-144) = 192

Physics

$\left(\frac{9}{14}\times224\right)$ = 144

(224-144) = 80

Zoology

$\left(\frac{7}{16}\times352\right)$ = 154

(352-154) = 198

Required ratio = 80 :144 = 5 : 9.