Question
In a talent hunt exam, the passing marks are fixed at 55%.
Marks obtained by ‘D’ are 7% less than passing marks, and ‘E’ scores 22% marks less than D. What percent less (up to 2 decimal places) than the sum of D’s and E’s marks should F obtain to pass the exam at the borderline?Solution
ATQ,
Let the maximum marks = 100x
Passing marks = 55x
D’s score = (55x)(1 – 0.07) = 51.15x
E’s score = (51.15x)(1 – 0.22) = 39.89x
Sum of the scores of ‘D’ and ‘E’ = 51.15x + 39.89x = 91.04x
Required percentage = {(91.04x – 55x)/91.04x} × 100 = 39.58%
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