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[vinviper1]

Peter got 30% of the maximum marks in an examination and failed by 10 marks. However, Paul who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What was the passing marks in the examination?

A. 35
B. 250
C. 75
D. 85
E. 90

[aatech]

Suppose the max marks is x

Peter got 30% of x = 3x/10

Paul got 40% of x = 4x/10

Passing mark = [3x/10] + 10 = [4x/10]-15
Solve to get x = 250

Passing marks = [4x/10]-15 = 85

[Mclaughlin]

In the above answer why did you divide 3x and 4x by 10?

[aatech]

30% of x => [30/100]*x => [3/10]*x = 3x/10