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Y has to score 40% marks to pass in an exam. He gets 20 marks and fails by 40 marks. The maximum marks of the exam is:
250
100
150
200
150
Calculate passing marks by adding failing marks to obtained marks (20 + 40 = 60). Since 40% of the total equals 60, simply compute 60 / 0.40 = 150.
Pass percentage = 40%, Y's marks = 20, Y fails by 40 marks.
Total┬аMarks=Passing┬аPercentageObtained┬аMarks+Passing┬аDeficitтАЛ├Ч100
Calculate passing marks by adding failing marks to obtained marks (20 + 40 = 60). Since 40% of the total equals 60, simply compute 60 / 0.40 = 150.
Many students subtract the failing marks from the obtained marks or forget to add them to find the total required passing score.
Determine Passing Marks
If Y gets 20 marks and fails by 40, the total marks required to pass are the sum of these two values.
Passing┬аMarks=20+40=60
Set up the Equation
The passing marks represent 40% of the maximum possible marks in the exam. Let M be the maximum marks.
0.40├ЧM=60
Solve for Maximum Marks
Divide the passing marks by the percentage (in decimal form) to isolate M.
M=0.4060тАЛ=150
C is correct because the passing marks are 60, which constitutes 40% of the total, resulting in a maximum of 150 marks.
This type of 'pass percentage' problem is fundamental for competitive exams; always equate (Obtained + Failed) to the Passing Percentage.
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