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A candidate scores 35% of the total marks and fails by 40 marks, while another candidate scores 45% and gets 30 marks more than the passing marks. What is the total marks of the examination?
600
700
800
900
700
Equate the difference in percentages to the sum of the gap (fail + pass), as 10% total marks equals 40 + 30 = 70 marks.
Candidate 1 scores 35% and fails by 40 marks. Candidate 2 scores 45% and scores 30 marks above passing.
Total┬аMarks=Difference┬аin┬аpercentageDifference┬аin┬аmarksтАЛ├Ч100
Equate the difference in percentages to the sum of the gap (fail + pass), as 10% total marks equals 40 + 30 = 70 marks.
Students often subtract the fail and pass marks (40-30=10) instead of adding them, forgetting that the pass line is between the two results.
Define the percentage gap
Calculate the difference between the two candidates' scores in percentage terms: 45%тИТ35%=10%.
45%тИТ35%=10%
Determine the actual mark difference
Since one student is 40 marks below and the other is 30 marks above, the total mark distance between them is 40+30=70.
40+30=70
Calculate total marks
If 10% of total marks equals 70, then 100% is given by 0.1070тАЛ.
Total┬аMarks=1070тАЛ├Ч100=700
B is correct because the 10% difference in scores corresponds to a 70 mark variance, leading to a total value of 700 marks.
This logic is identical to speed-time-distance problems where you calculate relative speed based on the head start or lag time between two moving objects.
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