Maximum Marks Calculation: Pass/Fail Scenario
Let 'M' represent the maximum marks in the exam and 'P' represent the passing marks.
Setting Up Equations
Based on the information given:
- Scenario 1: When a student scored 91% of the maximum marks, they passed by 187 marks. This can be written as: $0.91 \times M = P + 187$
- Scenario 2: When the student scored 36% of the maximum marks, they failed by 60.5 marks. This can be written as: $0.36 \times M = P - 60.5$
Solving for Maximum Marks (M)
We have a system of two linear equations. To find 'M', we can subtract the second equation from the first equation to eliminate 'P':
$ (0.91M - 0.36M) = (P + 187) - (P - 60.5) $Simplify the equation:
$ 0.55M = 187 + 60.5 $ $ 0.55M = 247.5 $Now, solve for 'M':
$ M = \frac{247.5}{0.55} $ $ M = \frac{24750}{55} $ $ M = 450 $Conclusion
The maximum marks for the exam is 450.
Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
The numbers of students of three classes of a school are in the ratio 4 : 5 : 6. If numbers of students in these classes increase by 25%, 20% and 25% respectively, then ratio of numbers of students will become:
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
