Navin got 60% of the maximum marks in his college's exam for his batch but missed that year's 'Deans List' threshold by 60 marks. His batchmate Pravin scored 80% of the maximum, and this score was 40 marks more than the same threshold. What was that year's 'Deans List' threshold?
Navin got 60% of the maximum marks in his college's exam for his batch but missed that year's 'Deans List' threshold by 60 marks. His batchmate Pravin scored 80% of the maximum, and this score was 40 marks more than the same threshold. What was that year's 'Deans List' threshold?
Solution
Let the maximum marks and the Dean's List threshold .
Navin scored 60% of max marks but fell short of the threshold by 60 marks:
Pravin scored 80% of max marks, which was 40 marks more than the threshold:
Subtracting Equation (1) from Equation (2):
Substituting in Equation (1):
The threshold is 360 marks, which does not match any of the given numerical options.
The answer is Option 1 — None of these.