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Examoogle • User • info@examoogle.com • EE-2024-8821
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For a candidate to clear an examination, he/she must score 55% marks. If he/she gets 120 marks and fails by 78 marks, the total marks of the examination is:
300
320
400
360
360
Calculate the passing marks by adding the marks obtained and the deficit (120 + 78 = 198), which represents 55% of the total. Solve 0.55 * T = 198 as T = 198 / 0.55 = 360.
Pass percentage = 55%, Marks obtained = 120, Marks failed by = 78
Total Marks=PassPercentageMarks Obtained+MarksFailed×100
Calculate the passing marks by adding the marks obtained and the deficit (120 + 78 = 198), which represents 55% of the total. Solve 0.55 * T = 198 as T = 198 / 0.55 = 360.
Do not subtract the failed marks; failing by a margin means the student needs those extra marks to reach the passing threshold.
Calculate Passing Marks
To pass, the candidate needs the marks already obtained plus the marks they failed by. Passing Marks = 120+78=198.
Passing Marks=120+78=198
Set up the equation
Given that 55% of the total marks (T) is equal to the passing marks, we have 0.55×T=198.
0.55×T=198
Solve for Total Marks
Divide the passing marks by the percentage (expressed as a decimal) to find the total: T=0.55198=360.
T=0.55198=360
D is correct because the passing marks are 198, which is 55% of 360.
This type of percentage-based problem is common in 'Pass/Fail' criteria questions across various competitive exams; always isolate the total value by setting the sum of obtained and deficit marks equal to the target percentage.
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