in a class 80% have passed english,70% passed hindi 10% did not passed either. if 144 students passed both. what is the total strength of the class.
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the total strength of the class is 96
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Answer:240
Step-by-step explanation:
Students passed in English = 80%
Students passed in Hindi = 70%
Students didn't passed in any subjects = 10%
Students passed in Both subjects = 144
ASSUMPTION :
Let the percentage of students who passed both the subjects be m% and let total number of students in the class = p
CALCULATION :
Then, we have
⇒ 80% + 70% + 10% - m% = 100%
⇒ m% + 100% = 160%
⇒ m% = 160% - 100%
⇒ m = 60
Hence we have 60% people who passed in both the subjects = 144
⇒ 60% of p = 144
⇒ (60/100) × p = 144
⇒ P = 144 × 100/60
⇒ P = 240
So, Total number of students = 240
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