Answer the following questions 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 the rest equally divided between class 11 and 12.
Answer the following questions 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 the rest equally divided between class 11 and 12.
Show Hint
- 40
- 45
- 50
- 55
The Correct Option is A
Solution and Explanation
Given: Total number of students = 800
Step 1: Number of students in secondary. \[ {Number of students in secondary} = 80\% { of } 800 = 0.80 \times 800 = 640 \] Step 2: Number of remaining students. \[ {Remaining students} = 800 - 640 = 160 \] These remaining students are divided equally into class 12 and class 11, so the number of students in each class is: \[ {Number of students in class 12} = \frac{160}{2} = 80 \] Step 3: Total vegetarians. \[ {Total vegetarians} = 53\% { of } 800 = 0.53 \times 800 = 424 \] Step 4: Number of vegetarians in secondary. \[ {Vegetarians in secondary} = 55\% { of } 640 = 0.55 \times 640 = 352 \] Step 5: Number of vegetarians in class 12. \[ {Vegetarians in class 12} = 424 - 352 - 40 = 32 \] This is because 40 vegetarians are in class 11, and the remaining vegetarians must be in class 12.
Step 6: Percentage of vegetarians in class 12. \[ {Percentage of vegetarians in class 12} = \frac{32}{80} \times 100 = 40\% \] Thus, the percentage of vegetarians in class 12 is 40%.
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