examination and failed

[sanju09]

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) 50
(C) 65
(D) 75
(E) 85

[harshavardhanc]

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) 50
(C) 65
(D) 75
(E) 85

increase of 10% ( 30 -> 40) is equivalent to increase of 25 marks. Hence, the total marks = 250.

40% of the total i.e. 2/5th = 100, is 15 more than the passing. Hence, passing marks = 85.

IMO E.

[kstv]

Max marks is 10x
Peter get 3x
Paul get 4x
so 3x +10 = 4x - 15
x = 25 so pass marks 75+10 or 100-15 = 85
so pass marks is 85

[this_time_i_will]

Let passing mark is P & total marks T.

P-10 = 0.3T
P+15 = 0.4T.

Solve for P. P=85.