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A student has to secure 40% marks to pass. He gets 178 marks and fails by 22 marks. The maximum marks is:
800
500
200
1000
500
Calculate the passing marks by adding the failed marks to the marks obtained: 178 + 22 = 200. Since 200 represents 40% of the total, the total is (200 / 40) * 100 = 500.
Pass percentage = 40%, Marks obtained = 178, Marks failed by = 22
M=PercentageP+FтАЛ├Ч100
Calculate the passing marks by adding the failed marks to the marks obtained: 178 + 22 = 200. Since 200 represents 40% of the total, the total is (200 / 40) * 100 = 500.
A common mistake is subtracting the failed marks from the obtained marks (178 - 22) instead of adding them, or forgetting to divide the passing marks by the percentage.
Calculate total passing marks
To pass, the student needs to reach a certain threshold. Since the student scored 178 and failed by 22, the passing threshold is the sum of these values.
Passing┬аMarks=178+22=200
Apply percentage formula
We are given that the passing threshold is 40% of the total maximum marks (M). Therefore, 40% of M is 200.
0.40├ЧM=200
Solve for Maximum Marks
Divide the passing marks by the passing percentage to find the maximum possible marks.
M=0.40200тАЛ=500
B is correct because the passing marks are 200, which represents 40% of the total maximum marks, resulting in a total of 500.
This concept of 'Passing Marks vs. Percentage' is frequently tested in exams under 'Profit & Loss' or 'Data Interpretation' where you calculate total values based on ratios and percentages.
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