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)

Total number of lecturers (both male and female) in Hindi is approximately what per cent of the total number of female lectures in Mathematics and Chemistry together?


A) 58

B) 43

C) 47

D) 51

E) 50

Answer:

Option D

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 % = $\left\{\frac{192}{192+182}\times100\right\}$% 

= $\frac{9600}{187}$ % = 51.3% = 51%.