In a class 25 of the students passed in both English and Hindi 37 5 of the students failed in both t...........

Quant (SSC) Percentage

In a class 25% of the students passed in both English and Hindi. 37.5% of the students failed in both the subjects while 60% students failed in Hindi. The difference between the students who passed in English and those who passed in Hindi is 15. What is the total number of students in class?

180

420

360

200

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Explanation:

Let the number of students in class = 80k
Students pass in both the English and Hindi = 25% (80k) = 20k
37.5% of the students failed in both the subjects = 37.5% (80k) = 30k
60% students failed in Hindi = 60% (80k) = 48k
Students who failed in Hindi & passed in English = 48k – 30k = 18k
Students who failed in English & Passed in Hindi = 80k – (20k + 48k) = 12k
The difference between the students who passed in English and those who passed in Hindi is 15
6k = 15 → k = 5/2
Total strength of class = 80k = 80 × 5/2 = 200