Maximum Marks Calculation: Examination Scoring
This problem requires calculating the total marks for an examination using information about a student's score and the passing criteria.
Determine Passing Marks
The student received 70 marks and fell short of the passing score by 20 marks. To find the minimum marks required to pass the examination, we add the marks scored to the shortfall.
Passing Marks = Marks Scored + Marks Shortage
Passing Marks = $70 + 20 = 90$ marks.
Calculate Maximum Marks
We are given that 40% of the total marks are needed to pass. We have calculated that the passing marks are 90.
Let the Maximum Marks be represented by $M$. The relationship can be written as:
$40\% \text{ of } M = 90$
To solve for $M$, we convert the percentage to a fraction and set up the equation:
$\frac{40}{100} \times M = 90$
Now, isolate $M$ to find the maximum marks:
$M = \frac{90 \times 100}{40}$
$M = \frac{9000}{40}$
Simplify the fraction:
$M = \frac{900}{4}$
$M = 225$
Thus, the maximum marks for the examination is 225.
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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:
