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
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;
The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:
The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.
The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:
The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:
