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1. Study the following pie-chart and the table given below it carefully to answer the questions given below:
Percentage-wise distribution of lecturers in 6 different subjects in a total number of lecturers: 1600.

Ratio of male to female lecturers

Lecturers Males : Females

Mathematics 3 : 4

Education 5 : 3

Hindi 1 : 3

Chemistry 1 : 7

Physics 9 : 5

Zoology 7 : 9

What is the difference between the total number of lecturers (both male and female) is Zoology and the total number of male lecturers in Chemistry and Education Together?

A. 192

B. 182

C. 146

D. 136

Solution:

Number of lecturers in various subjects are:

\begin{aligned} Chemistry → \frac{13}{100} \times 1600 = 208 \\ Education → \frac{18}{100} \times 1600 = 288 \\ Hindi → \frac{12}{100} \times 1600 = 192 \\ Mathematics → \frac{21}{100} \times 1600 = 336 \\ Physics → \frac{14}{100} \times 1600 = 224 \\ Zoology → \frac{22}{100} \times 1600 = 352 \end{aligned}

Subject	Number of Males	Number of Females
Chemistry	208 × $\frac{1}{8}$ = 26	208 - 26 = 182
Education	288 × $\frac{5}{8}$ = 180	288 - 180 = 108
Hindi	192 × $\frac{1}{4}$ = 48	192 - 48 = 144
Mathematics	336 × $\frac{3}{7}$ = 144	336 - 144 = 192
Physics	224 × $\frac{9}{14}$ = 144	224 - 144 = 80
Zoology	352 × $\frac{7}{16}$ = 154	352 - 154 = 198

Required difference
= 352 - (26 + 180)
= 352 - 206
= 146

Lecturers	Males : Females
Mathematics	3 : 4
Education	5 : 3
Hindi	1 : 3
Chemistry	1 : 7
Physics	9 : 5
Zoology	7 : 9

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