Calculating Marks Needed to Pass
Farman failed by 60 marks, and he had already secured 60 marks. Therefore, the total marks required to pass are:
Marks needed = Marks scored + Marks failed by
Marks needed = 60 + 60 = 120 marks
Determining Maximum Marks
The problem states that 60% marks are required to pass. We found that 120 marks are needed to pass.
Let the maximum marks be denoted by $M$. We can set up the equation:
60% of $M$ = 120
Using LaTeX for the calculation:
$ \frac{60}{100} \times M = 120 $
Now, solve for $M$:
$ M = \frac{120 \times 100}{60} $
$ M = \frac{12000}{60} $
$ M = 200 $
So, the maximum marks are 200.
Verifying the Result
If the maximum marks are 200, then 60% of the maximum marks is:
$ 0.60 \times 200 = 120 $
Farman scored 60 marks. The difference between the passing marks (120) and his score (60) is:
$ 120 - 60 = 60 $
This confirms that he failed by 60 marks, matching the question's condition.
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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?
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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 ;
