examination and failed

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 am; Location: India; Thanked: 267 times; Followed by:80 members; GMAT Score:760

examination and failed

by sanju09 » Fri Mar 19, 2010 5:08 am

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

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Source: Beat The GMAT — Problem Solving | Fri Mar 19, 2010 5:08 am

harshavardhanc: Legendary Member; Posts: 526; Joined: Sat Feb 21, 2009 11:47 pm; Location: India; Thanked: 68 times; GMAT Score:680

by harshavardhanc » Fri Mar 19, 2010 5:18 am

sanju09 wrote: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.

Regards,
Harsha