CAT 2007 — DILR Question 1
Answer the following question based on the information given below.
The proportion of male students and the proportion of vegetarian students in a school are given below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest equally divided between Class 11 and 12.
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What is the percentage of vegetarian students in Class 12?
Answer & solution
40
- B
45
- C
50
- D
55
- E
60
From the table given in the question,
Total students = 800
Students in Secondary = 0.8 × 800 = 640
Students in Class 11 = (800 – 640)/2 = 80
Students in Class 12 = 80
Males in Class 11 = 0.55 × 80 = 44
Males in Class 12 = 0.6 × 80 = 48
∴ Males in Secondary = 0.475 × 800 – 44 – 48 = 288
Vegetarians in Class 11 = 0.5 × 80 = 40
Vegetarians in Secondary = 0.55 × 640 = 352
Vegetarians in Class 12 = 800 × 0.53 – 40 – 352 = 32
∴ The percentage of vegetarians in class 12 = 32 × 100/80 = 40%
Hence, option (a).