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.
Similar Questions
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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 ;
