A college has a total of 800 MCA students, 80% of whom are in class MCA-III and remaining are equally divided between class MCA-I and class MCA-II. The proportion of female students and the proportion of vegetarian students in the college are indicated as under through the table. Answer questions 32 to 34 based on this information. Proportion of females and proportion of vegetarians in each class Class Female (F) Vegetarian (V) MCA-I 0.40 MCA-II 0.45 0.50 MCA-III 0.55 Total 0.525 0.53 For example, in the table above, 0.525 is the total proportion of female students and 0.53 is the total proportion of vegetarian students in the college. 32. What is the percentage of female students in class MCA-III? (A) 40 (B) 45 (C) 50 (D) 55
Answers
Given : A college has a total of 800 MCA students, 80% of whom are in class MCA-III and remaining are equally divided between class MCA-I and class MCA-II.
To find : What is the percentage of female students in class MCA-III?
Solution:
Total Students = 800
MCA -III = (80/100)800 = 640
MCA - | & MCA || = (800 - 640)/2 = 80 each
Females in MCA - | = 0.4 * 80 = 32
Females in MCA - || = 0.45 * 80 = 36
Total Females = 0.525 * 800 = 420
Females in MCA - ||| = 420 - 32 - 36 = 352
percentage of female students in class MCA-III = (352/640) * 100 = 55 %
55 % of female students in class MCA-III
Total Vegetarian = 0.53 * 800 = 424
Vegetarian in MCA - I| = 0.5 * 80 = 40
Vegetarian in MCA - I|| = 0.55 * 640 = 352
Vegetarian in MCA - | = 424 - 40 - 352 = 32
% of Vegetarian in MCA - | = (32/80) * 100 = 40 %
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