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In a competitive examination, the average marks for the entire examination was 60 marks. If 20% of the applicants scored 85 marks and 25% scored 95 marks. What was the average marks of the remaining applicants in the examination ?

Correct Answer: 35

Explanation:

Let the total applicants be 100


 


Then, 20% got 85 marks


i.e 20 x 85 = 1700


 


and 25% got 95 marks


 i.e 25 x 95 = 2375


 


Now, the remaining applicants are 55 and let the average marks scored by them be x.


 


Therefore, 2375 + 1700 + 55x  =   60 × 100  


6000 - 4075 = 55x


55x=1925


x=35.


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