SOLUTION: In an exam, a student scored 50% of the maximum marks and yet failed by 12 marks. If he had scored 10% more than what he scored, he would have just managed to get the pass perc

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In an exam, a student scored 50% of the maximum marks and yet failed by 12 marks. If he had scored 10% more than what he scored, he would have just managed to get the pass perc      Log On


   

Question 1028365: In an exam, a student scored 50% of the maximum marks and yet failed by 12 marks. If he had scored 10% more than what he scored, he would have just managed to get the pass percentage . What are the maximum marks of the paper?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let M = maximum marks, and P = passing mark for the exam.
From the first statement, we know that he scored 0.50M, but that 0.50M + 12 = P. From the second statement we know that 1.10(0.50M) = P, or 0.55M = P.
==> 0.50M + 12 = 0.55M ==> 12 = 0.05M ==> M = 240, the maximum marks for the exam.