In a class, 60% of students are from India and 50% of the students are girls. If 30% of the Indian students are girls, then what percentage of foreign students are boys?
Question
In a class, 60% of students are from India and 50% of the students are girls. If 30% of the Indian students are girls, then what percentage of foreign students are boys?
Solution
Sure, let's break it down:
- Let's assume the total number of students in the class is 100 (for simplicity).
- According to the problem, 60 students are from India and 40 students are foreign.
- Out of the 60 Indian students, 30% are girls, which means 18 students are Indian girls.
- Since 50% of the total students are girls, there are 50 girls in total. If 18 of these are Indian girls, then the remaining 32 must be foreign girls.
- Now, we know that there are 40 foreign students in total. If 32 of these are girls, then the remaining 8 must be boys.
- Therefore, the percentage of foreign students who are boys is 8 out of 40, or 20%.
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