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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 ?
60
52
35
30
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.
Hence, option 3 is the correct answer.
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