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Previous Year Question (PYQs)

In an examination, 78% of the total students who appeared were successful. If the total number of failures was 176 and 34% got first class, then how many students got first class?




Solution

Let the total number of students = N

We know,

  • 78% students were successful → 22% students failed.
  • Number of failures = 176.

So,

22% of N = 176
⇒ 22N / 100 = 176
⇒ N = (176 × 100) / 22 = 800

Total students appeared = 800

Now, 34% got first class:

First class students = 34% of 800
= (34 × 800) / 100
= 272

✅ Final Answer: 272 students got first class.


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