Lecturers in Zoology

So the number of lecturers in Zoology is – 1600 x (22/100) = 352
Number of Males = 352 x (7/16) = 154
Number of Females = 352 x (9/16) = 198
The number of lecturers in Chemistry is – 1600 x (13/100) = 208
Number of Males = 208 x (1/8) = 26
Number of Females = 208 x (7/8) = 182
The number of lecturers in Education is – 1600 x (18/100) = 288
Number of Males = 288 x (5/8) = 180
Number of Females = 288 x (3/8) = 108
The number of lecturers in Hindi is – 1600 x (12/100) = 192
Number of Males = 192 x (1/4) = 48
Number of Females = 192 x (3/4) = 144
The number of lecturers in Mathematics is – 1600 x (21/100) = 336
Number of Males = 336 x (3/7) = 144
Number of Females = 336 x (4/7) = 192
The number of lecturers in Physics is – 1600 x (14/100) = 224
Number of Males = 224 x (9/14) = 144
Number of Females = 352 x (5/14) = 208

According to the question we need the number of female lecturers in Zoology and Male Lecturers in Hindi.
As per the above calculation the number of female lecturers in Zoology is – 198
Number of male lecturer in Hindi is – 48
So the difference between the female lecturer in Zoology and male lecturer in Hindi is (198-48) = 150.
So the correct option is option C.
Shortcut Method:
Female lecturer in Zoology can be calculated as 1600 x (9/16) x 22% = 198
Male lecturer in Hindi can be calculated as 1600 x (1/4) x 12% = 48.
So the difference between the two can be calculated as (198-48) = 150.