Discussion
In an exam, 49% students failed in English and 36% students failed in Hindi, while 15% failed in both. If the total number of students who passed the exam in both subjects was 450, what was the total number of students who appeared in the exam?
Answer: C
Correct answer: 1500
Work in percentages of the whole cohort. The proportion failing at least one subject is
\[49\% + 36\% - 15\% = 70\%\]
subtracting the 15% counted twice. Passing in both subjects means failing neither, so that group is the complement:
\[100\% - 70\% = 30\%\]
This 30% equals 450 students, so
\[\text{Total} = \frac{450}{0.30} = 1500\]
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