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
A number p increased by p% of 99 equals 99 increased by 99% of p. What is (p + 51)% of 928 + 72?
Amina saves 16% of her income. Now her income is increased by 20% but she still saves the same amount as before. What is the percentage increase in her expenditure?
What is 12% of 4% of 7% of 2 × 10 6 ?
Vignesh spends 42% of his monthly salary on food, 16% on house rent, 11% on entertainment and 7% on conveyance. But due to some family function, he has to borrow Rs. 12,000 from a money leader to meet the expenses of Rs. 18,000 What is his monthly salary?
If X is 12.25% more than Y. then Y is approximately_____ less than X.
