There were 600 students in a school. Each offered either English or Hindi or both. If 75% offered English and 45% Hindi, how many offered both?  

   (A) 48  

   (B) 60  

   (C) 120 

   (D) None of these 

Let’s analyze the problem:

  • Total students = 600
  • Students offering English = 75% of 600 = 450
  • Students offering Hindi = 45% of 600 = 270

Understanding the concept:

When we add the number of students offering English and Hindi, we are double-counting the students who offer both languages.

Solution:

  • Total students offering English or Hindi or both = 450 + 270 = 720
  • Since there are only 600 students, the extra 720 – 600 = 120 students represent those who were counted twice (i.e., those who offer both languages).

Therefore, the number of students who offer both English and Hindi is 120.

So, the correct answer is (C) 120.

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