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In a classroom there were 60% of students who were preparing for IIT-JEE exam and the number of students who were not preparing for IIT-JEE is 64. Then find the total number of student in the class.
1. 120
2. 160
3. 200
4. 180

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Correct Answer - Option 2 : 160

Given:

Percentage of students who were preparing for IIT-JEE = 60% 

Total number of students who were not preparing for IIT-JEE = 64 

Calculations:

Let the total number of student in the classroom be 100x 

Total number of students who were preparing for IIT-JEE = 100x × 60/100 = 60x 

Total number of students who were not preparing for II-JEE = 100x – 60x = 40x 

⇒ 40x = 64 

⇒ x = 64/40 = 8/5 

The total number of students = 100x = 100 × 8/5 = 160 

∴ The total number of students in the classroom is 160 

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